Algebra Test Functions and Graphs

Question 1

Which of the following relations is a function?

Accepted Answer

{(1,2),(2,3),(3,4)}

Answer

A function requires each input to have exactly one output; only the second set has no repeated x-values.

Question 2

What is the domain of f(x) = √(x - 3)?

Accepted Answer

x ≥ 3

Answer

The radicand must be non-negative: x - 3 ≥ 0, so x ≥ 3.

Question 3

If f(x) = 3x - 2, what is f(4)?

Accepted Answer

10

Answer

f(4) = 3(4) - 2 = 10.

Question 4

The vertical line test determines whether a graph is:

Accepted Answer

A function

Answer

The vertical line test checks if any vertical line intersects the graph more than once; if not, it is a function.

Question 5

What is the range of f(x) = x² for all real x?

Accepted Answer

y ≥ 0

Answer

Since x² ≥ 0 for all real x, the range is y ≥ 0.

Algebra Test Practice Test