HW Unit 5 Quiz Review

Graph:

Graph:

Graph:

Write the equation for the graph:

What is the domain of this graph?

What is the range of this graph?

Write the equation for the graph:

What is the domain of this graph?

What is the range of this graph?

Write the equation for the graph:

What is the domain of this graph?

What is the range of this graph?

Find the inverse of:

f(x)=2x-3

Write your answer using f^{-1}\left(x\right)

Find the inverse of:

f(x)=4x^3

Write your answer using f^{-1}\left(x\right)

Find the inverse of:

f(x)=x^2+7

Write your answer using f^{-1}\left(x\right)

A tsunami is a large ocean wave generated by an undersea earthquake. The formula for the speed s in miles per hour as a function of depth d of the ocean in meters is:

Determine the speed of a tsunami if the earthquake occurs in an area where the ocean is 10,000 meters deep.

(Hint: Carlsbad is 2600 miles from Honolulu)

Round to the nearest tenth.

Write the inverse function.

*Hint your answer should contain parentheses.

d(s)=

Paul the plumber charges $125 to come to your house, and then $55.50/hour of work. The cost (c) as a function of hours worked (h) is given by the function:

Find the inverse function so that it is written as hours as a function of cost h(c).

Use the inverse function to answer...

If Paul "the plumber" sends you a bill for $1,013.00 how many hours of work did he do at your house?

Which table shows the inverse of the table below?

The table in the previous problem represents the function f(x)=x^2. What is the inverse function?

The graph of f(x) is shown below. Graph f^-1(x).

Connect your points so it's a mirror image!