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Biblioteka

Yr11 Exponential Functions

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Pitanje 1
1.

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

Pitanje 2
2.

Which of the following functions is not an exponential function?

Pitanje 3
3.

In the function

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

Pitanje 4
4.

What does the function

represent in terms of a transformation of the base function?

Pitanje 5
5.

For the exponential function

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

Pitanje 6
6.

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

Pitanje 7
7.

The equation for the exponential function is

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

Pitanje 8
8.

If we have an exponential function

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

Pitanje 9
9.

Given an exponential function

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

Pitanje 10
10.

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

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

Pitanje 11
11.

Given the function

calculate y if x = -2.

Pitanje 12
12.

Evaluate the following expression for x = 2:

Pitanje 13
13.

Sketch the graph of

and label the y-intercept and asymptote

Pitanje 14
14.

Sketch the graph of

and label the y-intercept and asymptote

Pitanje 15
15.

Here is a function in the form

Find the values of a and p

Pitanje 16
16.

Solve for x

Pitanje 17
17.

Solve for x

Pitanje 18
18.

Solve for x

Pitanje 19
19.

Solve the exponential equation:

Pitanje 20
20.

What is the value of x?

Pitanje 21
21.

Find the value of x in the equation

Pitanje 22
22.

Pitanje 23
23.

For the function:

Find P(-2)

Pitanje 24
24.

For the function:

Find P(x+4)

Pitanje 25
25.

Write down the function and sketch its graph:

a reflection of

in the x-axis

Pitanje 26
26.

Write down the function and sketch its graph:

a horizontal translation of

by 3 units to the right

Pitanje 27
27.

Sketch the graph of

and state its range

Pitanje 28
28.

Solve for x

Pitanje 29
29.

Solve for x

Pitanje 30
30.

Using a calculator, solve for x

Pitanje 31
31.

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

Pitanje 32
32.

This function is in the form

Find the value of f(1)

Pitanje 33
33.

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

Pitanje 34
34.

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

What is the population after 4 months?

Pitanje 35
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.

Pitanje 36
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.

Pitanje 37
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?