Precal Functions

Information about a function $ g(x) $ is given in the table. The function $ g(x) $ is defined for all real numbers. Which of the following statements is guaranteed to be true about $ g(x) $?

• $ g(x) $ has a relative maximum at $ x = -2 $.

• $ g(x) $ has a relative minimum at $ x = 4 $.

• $ g(x) = 0 $ for some $ x $ in the interval $[-2, 4]$.

• The range of $ g(x) $ is $(- fty, 11]$.

Which of the following equations could represent the graph shown?

• I only

• I and III

• II and IV

• I, II, and IV

Let n(t) represent the tailwind of an airplane, in miles per hour, t hours into the flight. Using correct units, interpret the statement n(3.5) = 67 in the context of this problem.

• The tailwind is 67 miles per hour 3.5 hours into the flight.

• The airplane travels 67 miles in 3.5 hours.

• The tailwind decreases by 67 miles per hour every 3.5 hours.

• The airplane's speed is 67 miles per hour at 3.5 hours into the flight.

Consider the function f(x) = 2 + √(x + 5). What is the range of f(x)?

• [2, ∞)

• [0, ∞)

• (-∞, ∞)

• [5, ∞)

Identify the transformations that occurred from the parent function y = x³ to produce the graph of f(x) =-(x + 2)³ .

• Reflection over the x-axis and horizontal shift left by 2 units

• Vertical stretch and horizontal shift right by 2 units

• Reflection over the y-axis and vertical shift up by 2 units

• Horizontal compression and vertical shift down by 2 units

• A.
• B.
• C.
• D.

The function below can be used to model the height (h, in feet) of a ball t-seconds after it is launched into the air. What is the height of the ball once 5 seconds have passed? h(t) = -16t² + 75t + 80

• 55 feet

• 124 feet

• 375 feet

• 535 feet

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

• Even Function

• Odd Function

• Function - neither even nor odd

• Not a function

What is f(1)?

• 6

• -2

• sqrt(2)

• Undefined