Practice Questions

Mini Mock EOC: Functions

Finish with a short EOC-style set that mixes tables, graphs, function rules, and calculator-active reasoning.

Practice Set 6

10 Mini Mock Questions

This final set checks whether you can move between direct skill questions, graph interpretation, inverse reasoning, domain restrictions, and multi-step function work with steady accuracy.

10 questionsMini mock

Question 1

For h(x) = { x + 5 when x < 0; 2x - 1 when x ≥ 0 }, what is h(3)?

Mock

Desmos Move: Use the rule that matches the input. Since 3 is at least 0, use the second expression.

Question 2

What is the average rate of change of the table shown from x = 1 to x = 5?

Mock

x	1	3	5
f(x)	4	8	12

Use the two endpoint values to compute the average rate of change.

Numeric response

Desmos Move: Use only the outputs at the endpoints of the interval.

Question 3

What is the domain of r(x) = 1 / (x - 6)?

Mock

Desmos Move: A denominator cannot equal 0. Solve x - 6 = 0 to find the restriction.

Question 4

Which equation best matches the graph shown?

Mock

Match the parabola's vertex and opening direction to the equation.

Desmos Move: Look for the vertex and whether the parabola opens up or down.

Question 5

If f(x) = x + 2 and g(x) = 3x, what is (g ∘ f)(4)?

Mock

Numeric response

Desmos Move: Work inside out. Find f(4) first, then use that result in g.

Question 6

If a graph fails the horizontal line test, what does that mean about its inverse?

Mock

Desmos Move: The horizontal line test checks whether outputs repeat. Repeated outputs create repeated inputs in the inverse.

Question 7

Function A is shown in the table. Function B is y = 4x - 3. Which function has the greater y-intercept?

Mock

x	0	2	4
A(x)	-1	3	7

The y-intercept is the output when x = 0.

Desmos Move: Compare the output at x = 0 for the table and the constant term of the equation.

Question 8

Use the table shown for p. What is the x-intercept?

Mock

x	1	2	4	6
p(x)	9	5	0	-4

The x-intercept is where the output equals 0.

Numeric response

Desmos Move: Find where the output is 0, then read the matching input.

Question 9

A model of profit reaches its highest point when x = 26. Which recommendation best matches the model?

Mock

Desmos Move: A maximum point tells where the model reaches its greatest output.

Question 10

Which function is one-to-one?

Mock

Desmos Move: A non-horizontal line passes the horizontal line test, while parabolas and absolute value graphs do not.