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Yr11 Exponential Functions

Last updated over 1 year ago
40 questions
1

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

1

Which of the following functions is not an exponential function?

1

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

1

What does the function
represent in terms of a transformation of the base function?

1

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

1

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

1

The equation for the exponential function is
What does the variable 'h' represent in the function?

1

If we have an exponential function
how is the graph of this function translated compared to the parent function?

1

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

1

What is the value of 'k' in the exponential function
if the function translates 7 units down from the parent fucntion?

1

Given the function
calculate y if x = -2.

1

If the exponential function
decreases by half when x = 4, find the new value of y.

1

Evaluate the following expression for x = 2:

1

Sketch the graph of
and label the y-intercept and asymptote

1

Sketch the graph of

and label the y-intercept and asymptote

1

Here is a function in the form
Find the values of a and p

1

Solve for x

1

Solve for x

1

Solve for x

1

Solve the exponential equation:

1

what is the value of x?

1

Find the value of x in the equation

1

1

For the function:
Find P(-2)

1

For the function:

Find P(x+4)

1

Write down the function and sketch its graph:
a reflection of
in the x-axis

1

Write down the function and sketch its graph:
a horizontal translation of
by 3 units to the right

1

Write down the function and sketch its graph:
a vertical stretch of
with a scale factor of 1/3

1

Sketch the graph of
and state its range

1

Solve for x

1

Solve for x

1

Using a calculator, solve for x

1

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

1

This function is in the form
Find the value of f(1)

1

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

1

The population of wallabies in a rocky valley after t months is
What is the population after 4 months?

1

Given the graph of
which is the correct graph of

1

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.

1

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.

1

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?