Module 1 Review

The graph of a quadratic function with vertex (2, -1) is shown in the figure below. Find the range and the domain.

• Domain: all real numbers, Range: y ≥ -1

• Domain: x ≥ 2, Range: y ≥ -1

• Domain: all real numbers, Range: y ≤ -1

• Domain: x ≤ 2, Range: y ≤ -1

Find the x-intercept and the y-intercept of the line below.

• (2, 0) and (0, 1)

• (3, 0) and (0, 2)

• (1, 0) and (0, 1)

• (4, 0) and (0, 4)

• Even, line

• Odd, line

• Even, point

• Odd, point

Describe the end behavior of the function and state the domain and range.

• End behavior: As x approaches infinity, f(x) approaches infinity. Domain: All real numbers. Range: All real numbers.

• End behavior: As x approaches infinity, f(x) approaches zero. Domain: All real numbers. Range: All real numbers less than or equal to 5.

• End behavior: As x approaches infinity, f(x) approaches a constant. Domain: All real numbers. Range: All real numbers less than or equal to 5.

• End behavior: As x approaches infinity, f(x) approaches negative infinity. Domain: All real numbers. Range: All real numbers less than or equal to 5.

Describe the graph f(x) = 5|x|.

• A V-shaped graph opening upwards

• A straight line

• A parabola

• A horizontal line

Describe the transformation of f(x) = 2|x+6| from its parent function.

• A vertical stretch and vertical shift up.

• A vertical compression and horizontal shift left.

• A vertical stretch and horizontal shift left.

• A vertical stretch and horizontal shift right.

The graph of f(x) = |x| is shown. Which transformation will give the graph of g(x) = |x-5|?

• Shift the graph of f(x) = |x| up by 5 units

• Shift the graph of f(x) = |x| down by 5 units

• Shift the graph of f(x) = |x| left by 5 units

• Shift the graph of f(x) = |x| right by 5 units

Here is the graph of the function g(x). Based on the graph, what is the equation for g(x)?

Salvatore is a plumber. He charges $100 for all work that is completed in less than 2 hours. He charges $250 for work that requires 2 to 5 hours, and he charges $400 for work that takes between 5 and 8 hours. Which best describes the domain of the function that models Salvatore's price scale?

• The domain is {100, 150, 400}.

• The domain is {x|0 < x < 8}.

• The domain is {x|100 ≤ x ≤ 400}.

• The domain is {x|x = 2, 5, 8}.

• Vertical stretch by a factor of 3 and shift up by 2 units

• Vertical compression by a factor of 1/3 and shift up by 2 units

• Vertical stretch by a factor of 3 and shift down by 2 units

• Vertical compression by a factor of 1/3 and shift down by 2 units