Answer:
For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.
In this case we gave y = f(x) = (1/3)^x
A) Domain
To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.
(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)
Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:
D: = R
B) Range.
To find the range we usually need to find the smallest value of the function.
Here we have:
y = (1/3)^x
Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.
For example for x = 100 we will have:
y = 1/3^100 ≈ 0
(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)
then:
0 < y
And if we have x negative, like x = -3 for example.
y = (1/3)^-3 = (3/1)^3 = 3^3 = 27
So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.
Then the range is only defined by
0 < y.
We can write the rane as:
R: (0, ∞)
C) The y-intercept is the value of y when x= 0
y = (1/3)^0 = 1
(for any number different than zero N, we have that N^0 = 1)
the y-intercept is 1
D) The asymptote is a tendency to a given value, such that the function never does reach that value.
Here we have two asymptotes.
y tends to infinity as x tends to negative infinity.
y tends to zero as x tends to infinity.
What is the standard form of (6,-3),(-2,-3)
Answer:
2x - 3y = 21
81 is divisible by?
1. 3
2. 4
3. 6
4. 8
Answer:
3 is the correct answer hope it helps
What is the range of ordered pairs represented on the graph?
Answer:
Step-by-step explanation:
1st. (4,6)
2nd. (-6,-2)
3rd. (8,4)
4th. (-4,-10)
What is the surface area of the cone? (Use 3.14 for π.)
339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2
Answer:
tambil anseeciot
Step-by-step explanation:
List the nurnbers in order from least to greatest. 1 -1,8,-18,-5,2,1 The numbers in order from least to greatest are
The angles listed from largest to smallest are __________________
I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
Answer:
B, A, C
Step-by-step explanation:
That's a 30-60-90 triangle.
Solve the quadratic equation
3x²-5x-7=0
Answer:
Step-by-step explanation:
The coefficients of this quadratic equation are {3, -5, -7}. The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.
This positive discriminant indicates that there are two real, unequal roots.
They are:
5 ± √109
x = ------------------
6
this is algebra please help
Answer:
1/8 and 1/16
Step-by-step explanation:
The negative exponent just means to right the negative inverse.
For example:
4^-2 means 4^2 but in a fraction
the answer would be 1/16
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?
Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
Adding and subtracting integers not a lot!!
Answer:
??
Step-by-step explanation:
Please help I really need it
Answer: The answer is the Median(D)
Step-by-step explanation:
Answer:
Median
Step-by-step explanation:
The area of a circle is 121π cm squared. What is the circumference in terms of π?
Answer:
38 cm cubic
Step-by-step explanation:
C = 2√πA
C = 2√3,14 x 121
C = 2√379,94
C = 2 x 19,49204966133629
C = 38,98409932267258 = 38 cm cubic
hope this help !
(don't forgot to make this the best answer)
SOMEONE PLEASEEEE HELPPPP?!!?!?!?!!?!?!??!
Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.
The equation that depicts the relationship between time in hours h and number of assignments finished f is f = 3h
How to write an equation?He finishes one assignment in 3 hours.
He does the assignment at a constant rate over several hours.
Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:
where
h = time in hoursf = number of assignmentHence, the equation is :
f = 3h
learn more on equation here: https://brainly.com/question/10091688
#SPJ1
Help me please. Stuck on y is [] times x.
Answer:
1 2/3
hope this helps :)
Step-by-step explanation:
Answer:
y=0.6x
Step-by-step explanation:
y=kx
k=y/x
k=9/15=18/30=27/45=36/60=0.6
Math question 10 points!!!
help please . thank you
if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches
Answer:
Step-by-step explanation:
1 in^2 = 5 mi * 5 mi = 25 mi^2
2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2
What is the angle measurement of angle DBC?
Help please
What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)
Answer:
4
Step-by-step explanation:
took the test and got it right!
someone pls just comment something
Answer:
Eleventeen
Step-by-step explanation:
Answer:
THIRTEEN
Step-by-step explanation:
Choose one
Help me please
Answer:
A
Step-by-step explanation:
Smallest to Largest
Natural numbers
Whole numbers
Integers
Rational numbers
Solve for x, rounding to the nearest hundredth.
25 • 3^3x = 250
x= 10/27
Hope you have a great day
A man who is X years old now has a son aged 5 years. In 7 years the father will be 4 times as old as his son will be then . How old is the father now
Answer:
48
Step-by-step explanation:
Answer:
41yrs old
Step-by-step explanation:
now. 7yrs later
F. S. F. S.
x 5. x+7. 5+7
F=(5+7)4
(5+7)4=x+7
20+28=x+7
48=x+7
x=48-7
x=41
so the father is 41yrs old
Helpppppp plz I’ll give branliest
Find the median of the data. 12,33,18,28,29,12,17,4,2
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
Image A
Step-by-step explanation:
The sum of the three interior angles of any triangle equal 180 degrees. One right triangle has one acute angle of 30 degrees.
Find the second acute angle.
Paragraph: Describe how to find the second acute angle.
Answer: right triangle is a triangle with one angle equal 90. That being said, the total of all angles = 180. 1 of them is 90 which makes the sum of the 2 acute angles = 90. One acute angle = 30 => the second one = 90 - 30 = 60 degree
Step-by-step explanation:
Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?
A bag contains colored marbles.
5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.
A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?
A. 0.8
B. 0.5
C. 0.4
D. 0.2