Exam 1: Functions and Their Graphs

Determine if the function f(t) = 8|t| - t⁶ is even, odd, or neither even nor odd.

A student work at Target making $8.3 per hour and the weekly number of hours worked per week, x, varies. If Target withholds 21% of his earnings for taxes and Social Security, write a function, E(x), that expresses the student's take-home pay each week. Find the inverse function, E ^-1(x). What does the inverse function tell you?

Determine if the relationship is a function. If it is a function, determine if it is a one-to-one function.

Given the equations f(x) = and g(x) = 7x - 4, find the domain of

Given the function , state the domain in interval notation.

Determine if the relationship f = {(-12, -19), (20, 8), (7, 1), (-8, 9)} is a one-to-one function.

Find the difference quotient for the function.

Given the functions f(x) = 10x + 2 and g(x) = 2x - 9, find .

The graph of y = x² is shifted up 9 and to the left 1. Write the resulting function.

For the given graph of a function f(x) draw the indicated function.

For the given graph of a function f(x) draw the indicated function. y = f(2x)

The graph of y = x² is reflected about the x-axis and shifted to the right 9. Write the resulting function.

The graph of y = |x| shifted down 10 and to the right 11. Write the resulting function.

Find the difference quotient for the function.

Determine whether the function is a one-to-one function.

Given the equations f(x) = 5x² + 4 and g(x) = 4x² - 10, find (f * g)(x)

For the given graph of a function f(x) draw the indicated function. y = -2f(x - 3) + 2

Given the function , state the domain in interval notation.

The graph of y = x³ is expanded by a factor of 9. Write the resulting function.

Given the functions And , find