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Functions and Graphs Practice Tests

These Grade 9 Math practice tests cover function definitions, domain and range, function notation, ordered pairs, mappings, tables, vertical line tests, slope, intercepts, linear and nonlinear relationships, transformations, sequences, and real-world function models.

Skills covered

  • Determining whether a relation or graph is a function
  • Finding domains, ranges, outputs, zeros, and intercepts
  • Evaluating function notation from rules, tables, and mappings
  • Interpreting slope, constant rate of change, parallel lines, and transformations
  • Building and analyzing linear models for cost, savings, temperature, population, and travel

How to use these practice tests

Identify the input and output first. Then evaluate the rule, compare changes in the table, read graph features, apply the vertical line test, and check whether the domain and range make sense in context.

For more Grade 9 Math practice, return to the Grade 9 Math category.

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Grade 9 Functions and Graphs Practice Tests

Practice Grade 9 Math questions about functions, domain, range, function notation, tables, mappings, graphs, slope, intercepts, transformations, and linear models.

Choose the best answer. Identify inputs and outputs, evaluate function rules carefully, read graph features, and interpret the model in context.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What does a positive slope tell you about a linear graph?

Please select an answer first.

Correct answer: A

The correct answer is The graph increases from left to right..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: A positive slope means y increases as x increases.
  3. Check the graph or value: The correct choice is The graph increases from left to right..

A positive slope means y increases as x increases.

2. QuestionMultiple choice

What does a negative slope tell you about a linear graph?

Please select an answer first.

Correct answer: B

The correct answer is The graph decreases from left to right..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: A negative slope means y decreases as x increases.
  3. Check the graph or value: The correct choice is The graph decreases from left to right..

A negative slope means y decreases as x increases.

3. QuestionMultiple choice

What type of line has slope zero?

Please select an answer first.

Correct answer: C

The correct answer is A horizontal line..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: A horizontal line has no vertical change as x changes, so its slope is 0.
  3. Check the graph or value: The correct choice is A horizontal line..

A horizontal line has no vertical change as x changes, so its slope is 0.

4. QuestionMultiple choice

What type of line has undefined slope?

Please select an answer first.

Correct answer: D

The correct answer is A vertical line..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: A vertical line has zero horizontal change, which makes the slope formula undefined.
  3. Check the graph or value: The correct choice is A vertical line..

A vertical line has zero horizontal change, which makes the slope formula undefined.

5. QuestionMultiple choice

What do parallel nonvertical lines have in common?

Please select an answer first.

Correct answer: A

The correct answer is The same slope and different y-intercepts..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: Parallel nonvertical lines rise or fall at the same rate but do not share the same y-intercept.
  3. Check the graph or value: The correct choice is The same slope and different y-intercepts..

Parallel nonvertical lines rise or fall at the same rate but do not share the same y-intercept.

6. QuestionMultiple choice

How are y=2x+1y=2x+1 and y=2x−5y=2x-5 related?

Please select an answer first.

Correct answer: B

The correct answer is They are parallel lines..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: Both equations have slope 2 and different y-intercepts, so the lines are parallel.
  3. Check the graph or value: The correct choice is They are parallel lines..

Both equations have slope 2 and different y-intercepts, so the lines are parallel.

7. QuestionMultiple choice

Compared with y=3xy=3x, what transformation gives y=3x+4y=3x+4?

Please select an answer first.

Correct answer: C

The correct answer is A vertical shift up 4 units..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: Adding 4 outside the x-term increases every output by 4, shifting the graph up.
  3. Check the graph or value: The correct choice is A vertical shift up 4 units..

Adding 4 outside the x-term increases every output by 4, shifting the graph up.

8. QuestionMultiple choice

Evaluate y=−x+2y=-x+2 when x = 3.

Please select an answer first.

Correct answer: D

The correct answer is -1.

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: Substitute 3: y = -3 + 2 = -1.
  3. Check the graph or value: The correct choice is -1.

Substitute 3: y = -3 + 2 = -1.

9. QuestionMultiple choice

A table has x-values increasing by 1 and y-values increasing by 5 each time. What is the slope?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: Slope is change in y divided by change in x, so 5/1 = 5.
  3. Check the graph or value: The correct choice is 5.

Slope is change in y divided by change in x, so 5/1 = 5.

10. QuestionMultiple choice

Which feature indicates a relationship is linear?

Please select an answer first.

Correct answer: B

The correct answer is Its first differences are constant for equally spaced x-values..

  1. Identify the function representation: Determine whether the information is given as a rule, table, mapping, graph, ordered pairs, or a context.
  2. Connect inputs and outputs: A constant rate of change produces constant first differences and a straight-line graph.
  3. Check the graph or value: The correct choice is Its first differences are constant for equally spaced x-values..

A constant rate of change produces constant first differences and a straight-line graph.

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