PRE CALCULUS Functions

Question 1

What is the domain of f(x) = 1/(x-3)?

Accepted Answer

All real numbers except x = 3

Answer

All real numbers

Answer

x > 3 only

Answer

x < 3 only

Question 2

If f(x) = 2x + 1 and g(x) = x², what is (f ∘ g)(3)?

Accepted Answer

19

Answer

49

Answer

10

Answer

7

Question 3

What is an inverse function?

Accepted Answer

A function that reverses the operation of the original function, where f(f⁻¹(x)) = x

Answer

The negative of a function

Answer

A function multiplied by -1

Answer

A function with no solutions

Question 4

What is the vertical line test?

Accepted Answer

A test to determine if a graph represents a function — no vertical line should intersect the graph at more than one point

Answer

Testing if a line is perfectly vertical

Answer

Testing the y-axis

Answer

A test for parallel lines

Question 5

What is the range of f(x) = x²?

Accepted Answer

y ≥ 0 (all non-negative real numbers)

Answer

All real numbers

Answer

y > 0 only

Answer

y ≤ 0 only

Question 6

What is a piecewise function?

Accepted Answer

A function defined by different expressions for different intervals of the domain

Answer

A function that is broken

Answer

A function with multiple y-intercepts

Answer

A function that can only be graphed in pieces