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Mission Simulator: Function Diagnostics worksheet preview

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Mission Simulator: Function Diagnostics

Analyze space-camp simulation rules, tables, and graphs to distinguish linear functions from nonlinear functions.

Grade 8MathInteractive · Printable

Aligned to8.F.A.3

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students interpret m and b in y = mx + b as features of a straight-line graph.
  • Students distinguish linear and nonlinear functions using equations, tables, and graphs.
  • Students explain why a function is linear or nonlinear using rates of change or equivalent rules.

How to use

Use after introducing y = mx + b. Have students mark input and output changes beside tables, then discuss the final simulation audit.

Curriculum

Common Core standard covered

8.F.A.3

Read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear.

Preview

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Mission Simulator: Function Diagnostics

Test which simulation rules produce straight-line graphs.

Control Rules

Each rule gives one output y for each allowed input x. Unless a restriction is stated, use all real inputs.

1.
The mission simulator uses these rules to control display settings. Match each rule to its graph description.
  1. y = −2x + 5
  2. y = 3x
  3. y = −4
  4. y = x²
  1. A. A horizontal straight line below the x-axis.
  2. B. A curved graph that is not a straight line.
  3. C. A rising straight line passing through the origin.
  4. D. A falling straight line crossing the y-axis at 5.
2.
A signed steering input x produces a display response y = 7 − x/2. Which statement describes the graph?
  • A. It is a straight line with slope 1/2 and y-intercept 7.
  • B. It is a straight line with slope −7 and y-intercept 1/2.
  • C. It is a straight line with slope 7 and y-intercept −1/2.
  • D. It is a straight line with slope −1/2 and y-intercept 7.
3.
A guidance response follows y = 1.5x − 2. Compare two different input intervals.

When x increases from 0 to 4, how much does y increase?  . When x increases from 6 to 10, how much does y increase?  .

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