Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

Yr11 Exponential Functions

star
star
star
star
star
Last updated 4 months ago
37 Nsɛmmisa
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Explain why all non-translated exponential functions have a y-intercept of 1?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Which of the following functions is not an exponential function?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

In the function

what effect does the '+3' have on the graph of the parent function?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What does the function

represent in terms of a transformation of the base function?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

For the exponential function

how is the graph affected by the '-2' as compared to the parent function?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Write the exponential function that represents a shift of 5 units to the left and 3 units upward from the parent function

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

The equation for the exponential function is

What does the variable 'h' represent in the function?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

If we have an exponential function

how is the graph of this function translated compared to the parent function?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Given an exponential function

how is the graph of this function translated compared to the parent function?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

What is the value of 'k' in the exponential function

if the function translates 7 units down from the parent fucntion?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Given the function

calculate y if x = -2.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Evaluate the following expression for x = 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Sketch the graph of

and label the y-intercept and asymptote

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Sketch the graph of

and label the y-intercept and asymptote

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Here is a function in the form

Find the values of a and p

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Solve the exponential equation:

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Find the value of x in the equation

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

For the function:

Find P(-2)

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

For the function:

Find P(x+4)

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Write down the function and sketch its graph:

a reflection of

in the x-axis

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Write down the function and sketch its graph:

a horizontal translation of

by 3 units to the right

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Sketch the graph of

and state its range

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
30.

Using a calculator, solve for x

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Using a calculator, solve for x to 2 d.p

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

This function is in the form

Find the value of f(1)

Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Solve for x to 2 d.p. You can use your Ti84.

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

The population of wallabies in a rocky valley after t months is

What is the population after 4 months?

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

A house that costs $200,000 will appreciate in value by 3% each year. Write a function that models the cost of the house over time. Use x for years and y for the value of the house, in dollars. Find the value of the house at the end of ten years.

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

The most recent virus that is making people ill is a fast multiplying one. On the first day of the illness, only 2 virus “bugs” are present. Each day after, the amount of “bugs” triples. Write a function that models the “bugs” growth over time. Use x for days and y for the amount of “bugs.” Find the amount of “bugs” present by the 5th day.

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

Toby ate half a banana in his room and forgot to throw the rest away. That night, two fruit flies came to visit the banana. Each night after, there were four times as many fruit flies hanging around the banana. Write a function that models the fruit flies growth over time. Use x for the nights and y for the number of fruit flies.

Toby's mom said that he will be grounded if the fruit flies number more than 120. On what night will Toby be in trouble if he doesn’t step in and solve the fruit fly problem?