Function g is a transformation of the parent exponential function. Which statements are true about function g?
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Function G Is A Transformation Of The Parent Exponential Function. Which Statements Are True About Function

Answers

Answer 1

Using function concepts, it is found that the correct options are:

Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).

What is the parent exponential function?

The parent exponential function is defined by:

[tex]y = e^x[/tex]

In this problem:

When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.

To learn more about function concepts, you can take a look at https://brainly.com/question/16948935


Related Questions

Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10

Answers

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

CAN ANYBODY GOOD WITH MATH HELP ME OUT PLEASE.

Answers

Answer:

Just put the money divided by the percent in a calculator-

Step-by-step explanation:

:/

35 : ? = 20 : 24
QUICKLY PLEASE!!

Answers

Answer:

35:42=20:24

Hope this helps!

42 is the answer

20:24 is equal to 5:6
35:42 is also equal to 5:6 when simplified

help!!!

i need freinds :3

Answers

Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

the diameter of a pearl is about 4×10-¹⁴ cm and the diameter of an atom is about 10-¹¹ m. how much larger than an atom is a pearl?​

Answers

Answer:

The diameter of an atom is 25000  times the diameter of a pearl.

Step-by-step explanation:

Given that,

The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]

The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]

Taking the ratio,

[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]

So, the diameter of an atom is 25000  times the diameter of a pearl.

how do you find the volume of a cylinder describe which measurements of the cylinder you need to know

Answers

Answer:

To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom

Step-by-step explanation:

Answer:

Give other person brainlyest :D

Step-by-step explanation:

ASAPPPPPP ASWERRRR
I NEED HELPPPP

Answers

Answer:

3/12 = 2/8

Step-by-step explanation:

it’s the last one 3/12 = 2/8

help fast !!!!!!!!!!!

Answers

Answer:

tbh I think its the middle one

Step-by-step explanation:

Answer:

2,3,1

Step-by-step explanation:

1 => 25-3=22

2 => 5-6 = -1

3 => 5- -3 = 8

An angle measures 48.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

65.8° and 114.2°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°   eq 1

a = b - 48.4     eq 2

replacing the value of eq 2 in eq 1:

(b-48.4) + b = 180°

2b - 48.4 = 180°

2b = 180 + 48.4

2b = 228.4

b = 114.2°

from the eq. 1

a = b - 48.4

a = 114.2 - 48.4

a = 65.8°

Check:

114.2° + 65.8° = 180°

A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations

Answers

I assume you want this explained

Answer and explanation:

If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)

The y intercept is -320 and the slope is 5

If for example the number of tickets sold = 100 tickets

Total amount of funds using the function :

f(100)= 5×100-320

=500-320

= $180

Answer:

The slope of the function is 5, and it represents the price of each ticket .

Step-by-step explanation:

PLEASE HELP I NEED THIS ASAP!!!What is the measure of an inscribed angle on a diameter? Move options into the blanks to identify and justify the measure B.

Answers

Answer: 180

Step-by-step explanation:

Find the value of x. Round to the nearest tenth if necessary.

Answers

Answer:

x

Step-by-step explanation:

What is the average speed of someone who walks 3 kilometers in 1 hour?

A. 3 m/h B. 0.33 km/h C. 3 km/h D. 0.33 km/h2​

Answers

Answer: C. 3 km/h
Reasoning: This is a ratio, where the person walks 3 kilometers (km) per 1 hour (h)

Hello! Please help me with this question. I’ll mark brainly! Thank you :)

Answers

Answer:

[tex]\Huge\boxed{\$ 12.12}[/tex]

Step-by-step explanation:

In order to find how much credit is left after 92 minutes, we need to

1.  Figure out the equation that describes this graph (since we don't know the y-intercept)

2. Find the credit remaining after 92 minutes using the equation formed.

Figuring out the equation of this graph:

First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.

The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.

Since minutes used is the x, and credit left is the y, we have two points.

(41, 19.26) and (68, 15.48).

The change in y is -3.78, as [tex]19.26-15.48=3.87[/tex], and we decreased, so -3.78.The change in x is 27 as [tex]68-41=27[/tex], and we increased.

The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.

Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!

To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.

[tex]19.26 =-0.14 \cdot 41 +b[/tex] [tex]19.26 = -5.74+ b[/tex] [tex]b = 19.26+5.74[/tex] [tex]b = 25[/tex]

Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario

[tex]y = -0.14x+25[/tex]

Solving for 92 minutes

Now that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).

[tex]y = -0.14 \cdot 92 + 25[/tex] [tex]y = -12.88+25[/tex] [tex]y =12.12[/tex]

Therefore, after 92 minutes, the amount of credit left is $12.12

Hope this helped!

f(x) is a function true or false?​

Answers

Answer:

yes True

Step-by-step explanation:

thank you so much

Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side. There will be no spaces in between. How many stones are needed?

Answers

Answer: 6

Step-by-step explanation:

From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.

The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:

= 5 ÷ 5/6

= 5 × 6/5

= 30/5

= 6

Therefore, the answer is 6.

What is the value of 5^2+0.8^2

Answers

Answer:

5^2=25 and 0.8^2= 0.64

Step-by-step explanation:

soo 25+0.64 equals..... 25.64!!!

It’s 25.64 hope this helps!


x + 3y = 18
-X - 4y = -25

Answers

-y=-7
Y=7
-x-4(-7)=-25
-x+28=-25
-x=3
X=-3

Answer:

x = -3

y= 7

Step-by-step explanation:

x + 3y=18 ----(1)

-x - 4y=-25 -----(2)

from equation (1)

x = 18 - 3y ---(3)

putting equation (3) into equation (2)

-(18 - 3y) - 4y = -25

18 + 3y -4y = -25

3y - 4y = -25 - 18

-y = -7

y = 7 ✓

Putting y=7 into equation (1)

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3 ✓

Pls help ASAP it’s math

Answers

Answer:

5

Step-by-step explanation:

the image shows VW and SR to be congruent therefore the difference is 10 between the sizes. to find SP you subtract 10 from TW

15 - 10 = 5

Who is ASAP and why do I need to help them

Tamora's net pay is $420 per week. Create an equation for Tamora's net pay.

Answers

Answer: y = 420x

Step-by-step explanation:

y = Total pay

x = Number of weeks

420 = Number of dollars per week of net pay

Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answers

the first one which is 252

A fish tank is 3 feet by 4 feet by 5 feet. How many cubic feet of water will it hold?

Answers

Answer:

60ft3

Step-by-step explanation:

Volume = length * breadth * height

= 3 * 4 * 5 = 60 (cubic ft)

When a system of linear equations has a
solution.... what am I actually finding when I
solve for x and y?

Answers

Answer:

You are finding the intersection point of the system of linear equations.

Step-by-step explanation:

You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.

What is the correct anwser and how

Answers

Answer:

D

Step-by-step explanation:

5+8=13

NOT 58

Answer: D

Step-by-step explanation:

Well 5+8=13 and not 58, so that’s why it’s incorrect

Measurement of <1 please help

Answers

Answer:

27°

Step-by-step explanation:

Triangles when all three sides are added up make up 180°. So In this problem you would need to add up 80 and 73 (153) then subtracting that number by 180 (27) to find the value/measurement of <1.

The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?

Answers

Answer:

[tex]Area = 0.785cm^2[/tex]

Step-by-step explanation:

Given

[tex]r = 1cm[/tex] -- radius

[tex]\theta = 90^{\circ}[/tex]

Required

Determine the area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Substitute values for r and [tex]\theta[/tex]

[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]

Simplify 90/360

[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]

[tex]Area = \frac{1}{4} \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = \frac{1}{4} * 3.14[/tex]

[tex]Area = 0.785cm^2[/tex]

What is the greatest common divisor between 621 and 1035.

Answers

Answer:

207

Step-by-step explanation:

Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.

Answers

Answer:4,4

Step-by-step explanation:

what is -2k + (-4k) + 5

Answers

if you want it simplified -6k+5, if you need the answer lmk
I believe it is -6 or if your evaluating it it’s 5-6k I think

Please help due soon will give brainliest

Answers

Answer:

25.13in³

Step-by-step explanation:

The answer to this question is 25.13in^3
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