Graph Analysis and Function Evaluation

This video is a multiple-choice review of functions and graphs. It covers evaluating functions, solving equations, identifying functions using the vertical line test, and analyzing graphs for intervals of increase, decrease, and constancy. The video also explores relative extrema, piecewise functions, domain and range, and the difference quotient.

What is the value of f(3) for the function f(x) = x^2 - 5x + 7?

• 1

• 0

• 3

• 2

If f(x) = 10, which of the following could be a value of x?

• 5

• -4

• 14

• 9

Which graph represents a function?

• Graph D

• Graph B

• Graph A

• Graph C

What is the value of f(-1) according to the graph?

• 3

• 2

• 1

• 0

For which x-values is the function increasing?

• (2, 3)

• (-1, 2)

• (-2, -1) and (2, 3)

• (-∞, -2) and (3, ∞)

Where is the relative maximum of the function located?

• x = -1

• x = 2

• x = 0

• x = -2

What is the value of f(4) for the piecewise function?

• 10

• 16

• 24

• 20

What is the domain of the graph?

• [-5, -2) ∪ [2, ∞)

• (-∞, -2] ∪ (2, ∞)

• [-5, -2] ∪ [2, ∞)

• (-5, -2) ∪ (2, ∞)

What is the range of the graph?

• [-5, -3) ∪ [1, ∞)

• (-5, -3] ∪ (1, ∞)

• [-5, -3] ∪ [1, ∞)

• (-5, -3) ∪ (1, ∞)

What is the simplified form of the difference quotient for the given function?

• 1/(√(x+h+2) + √(x+2))

• 1/(√(x+h) + √(x))

• 1/(x+h+2)

• 1/(x+2)