Algebra Test Functions and Graphs 3

Question 1

What is the x-intercept of f(x) = 2x - 8?

Accepted Answer

x = 4

Answer

Set f(x) = 0: 2x - 8 = 0 gives x = 4.

Question 2

Which describes an increasing function on an interval?

Accepted Answer

As x increases, y increases

Answer

An increasing function produces larger outputs as input values increase.

Question 3

What is the domain of f(x) = 1/(x - 5)?

Accepted Answer

x ≠ 5

Answer

The denominator cannot be zero: x - 5 ≠ 0, so x ≠ 5.

Question 4

What transformation does y = f(x - 2) represent?

Accepted Answer

Shift 2 units right

Answer

Replacing x with (x - 2) shifts the graph 2 units to the right.

Question 5

If f(x) = 5 for all x, the function is called a:

Accepted Answer

Constant function

Answer

A function that outputs the same value for every input is a constant function.

Algebra Test Practice Test