Exam 1: Functions and Their Graphs

Find the average rate of change of the function from x = 3 to x = 7. f(x) = 1 - 2x

For the given graph of a function f(x) draw the indicated function. y = -f(x) + 1

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

The graph of y = x³ is contracted by a factor of 7. Write the resulting function.

Given the graph of the piece-wise function, (a) state the domain and range in interval notation and (b) determine the intervals when the function is increasing, decreasing, or constant.

State (a) the domain, (b) the range, and (c) the x-intervals where the function is increasing, decreasing, and constant. Find the values of f(0) and f(3).

For the given graph of a function f(x) draw the indicated function. y = f(x + 2) - 1

Given the functions f(x) = 48x + 64 and g(x) = 6x + 8, find

Determine if the function h(x) = 5x² + 4 is even, odd, or neither even nor odd.

(a) Graph the piece-wise function. (b) State the domain and range in interval notation.

Determine if the function f(x) = x¹³ + 4 is even, odd, or neither even nor odd.

Given the functions and , determine the composite functions and .

Given the functions f(x) = x + 8 and g(x) = 3x - 6, find (f * g)(x)

Find the difference quotient for the function.

Determine if the relationship , x > 0 is a function. If it is a function, determine if it is one-to-one.

Given the graph of a one-to-one function: plot its inverse.

Determine if the function Is even, odd, or neither even nor odd.

Given the functions f(x) = 7x² - 4x, and g(x) = -6 - x, find and

The function y = 7 - 6x is a one-to-one function. Find its inverse.

Classify the following relationship as a function or not a function. {(-6, -16), (11, -15), (-15, -10), (-1, -4), (9, -1)}