Function Notation Test – Algebra 1 Math (Printable PDF)

Question 1 Is it a function? (2 points)

Decide whether each relation is a function and explain. (a)

(1 point) (b) {(0, 1), (0, 4), (2, 3)} (1 point)

Question 2 Evaluate a quadratic (2 points)

If f(x) = x² − 4x + 7, find f(−3) and f(2).

Question 3 Vertical line test (2 points)

Does the graph represent y as a function of x? Justify your answer.

Question 4 Interpret function values (3 points)

The speed of a train in miles per hour, t minutes after leaving the station, is S(t). Interpret each statement. (a) S(6) = 48 (1 point) (b) S(40) = 0 (1 point) (c) State the units of the input and of the output. (1 point)

Question 5 Domain and range of a graph (3 points)

Study the graph of f below.

(a) Write every allowed input as an inequality. (1 point) (b) Write every output that occurs as an inequality. (1 point) (c) What output does the graph give at an input of −2.5? (1 point)

Question 6 Discrete or continuous (2 points)

A theater sells tickets for $11 each, and it has 120 seats, so T(n) = 11n. (a) Is the domain discrete or continuous? Explain. (1 point) (b) Describe the range. (1 point)

Question 7 Using function notation (3 points)

If f(x) = 6 − 4x, (a) find f(−2). (1 point) (b) find x when f(x) = −18. (1 point) (c) simplify f(x + 1). (1 point)

Question 8 Rental charges (3 points)

A rental shop charges R(h) = 25 + 12h dollars for h hours, with 0 ≤ h ≤ 8. (a) Find R(3.5). (1 point) (b) State the domain and range. (1 point) (c) Find h when R(h) = 85. (1 point)