[IM2] Unit 6 Test Review

How does the graph of f(x) = |x| compare with the graph of g(x) = -2|x|? Select all that apply.

• The graph of g is a vertical compression of the graph of f.

• The graph of g is a vertical stretch of the graph of f.

• The graph of g is a reflection over the x-axis of the graph of f.

• The graph of g is a horizontal compression of the graph of f.

The graph shows the cost of renting skates. Sadie rents a pair of skates at 10 A.M. How much will she pay if she returns the skates by 1 P.M.?

Mathematical Equivalence

ON

What is the average rate of change over the interval 3.5 ≤ x ≤ 4?

• 0

• 0.5

• 1

• 2

Mathematical Equivalence

ON

• As x approaches infinity, y approaches infinity

• As x approaches negative infinity, y approaches negative infinity

• f has an axis of symmetry at x=1

• The domain of f is all real numbers

• The maximum value of f is 4 and x=1

The vertex of the graph of f(x) = 0.25|x - 3| is ​ (a)   The graph opens ​ (b)   , so f(x) has ​ (c)   .

• Upward
• (3,0)
• (-0.25,3)
• (0.25,3)
• Downward
• (0,3)
• minimum
• maximum

What is the equation for the graph?

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown. ​ ​ (a)   will charge more to tutor for 5.5 hours. ​​ (b)   more.

• Latoya
• Oscar
• $17.50
• $20
• $10.50
• $10
• $15.50

• 0 < t < 1

• 0 < t < 1.5

• 1.5 < t < 2.5

• 0 < t < 1.25