Chapter 3 Assessment - Functions

Determine whether the relation represents a function. If it is a function, state the domain and range.

• function domain: {Alice, Brad, Carl} range: {snake, cat, dog}
• function range: {Alice, Brad, Carl} domain: {snake, cat, dog}
• not a function

For the given functions f and g, find the requested function and state its domain. f(x) = 8x - 2; g(x) = 4x - 8

• f(x) = 8x - 2; g(x) = 4x - 8; {x|x ≠ 1}
• (f - g)(x) = -4x - 6; all real numbers
• (f - g)(x) = 4x + 6; all real numbers
• (f - g)(x) = 4x - 10; {x|x ≠ 5/2 }

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

• function domain: {x|-π ≤ x ≤ π} range: {y|-1 ≤ y ≤ 1} intercepts: (-π, 0), (0, 0), (π, 0) symmetry: origin
• function domain: all real numbers range: {y|-1 ≤ y ≤ 1} intercepts: (-π, 0), (0, 0), (π, 0) symmetry: origin
• function domain: {x|-1 ≤ x ≤ 1} range: {y|-π ≤ y ≤ π} intercepts: (-π, 0), (0, 0), (π, 0) symmetry: none
• not a function

Answer the question about the given function. Given the function f(x) = -7 + 14x - 4, is the point (1, 3) on the graph of f?

• Yes
• No

The graph of a function is given. Decide whether it is even, odd, or neither.

• even
• odd
• neither

The graph of a function is given. Decide whether it is even, odd, or neither. f(x) = cubed root of x

• even
• odd
• neither

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. interval (1,3)

• constant
• decreasing
• increasing

The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local maximum. What are the local maxima?

• f has a local maximum at x = -3 and 3; the local maximum is 0
• f has a local maximum at x = 0; the local maximum is 3
• f has a local maximum at x = 3; the local maximum is 3
• f has no local maximum

For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists.

• Absolute maximum: f(2) = 7; Absolute minimum: f(3) = 0
• Absolute maximum: f(5) = 6; Absolute minimum: f(2) = 1
• Absolute maximum: f(6) = 5; Absolute minimum: f(1) = 2
• Absolute maximum: f(7) = 2; Absolute minimum: f(0) = 3

Find the average rate of change for the function between the given values. f(x) = x^2 + 4x; from 6 to 8

• 18
• 9/2
• 48
• 12