Is it a function? Vertical line test, and reading values from graphs and tables

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Table for f

    input w: weeksoutput f(w): dollars
    05
    18
    211
    314
  2. Luz adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 3w + 2 dollars. What is f(3) + g(3)?

  3. Milo adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 5w − 1 dollars. What is f(4) + g(4)?

  4. Noah adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 2w + 8 dollars. What is f(3) + g(3)?

  5. Pia adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = w² − 4 dollars. What is f(3) + g(3)?

  6. Ren plots a V-shaped ski run. The graph shows f(x). For how many inputs x is f(x) = 4?

  7. Tala plots a bumpy trail. The graph shows f(x). For how many inputs x is f(x) = 5?

  8. Zee plots a tree's zigzag shadow. The graph shows f(x). For how many inputs x is f(x) = 4?

  9. Bo's robot follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 3?

  10. Esme's lamp follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 5?

  11. Kira's rocket follows the relation y² = x (x is the input). How many y-values go with x = 9?

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Is it a function? Vertical line test, and reading values from graphs and tables

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Read this first

    Table for f

    input w: weeksoutput f(w): dollars
    05
    18
    211
    314
  2. Luz adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 3w + 2 dollars. What is f(3) + g(3)?

    25
  3. Milo adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 5w − 1 dollars. What is f(4) + g(4)?

    26
  4. Noah adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = 2w + 8 dollars. What is f(3) + g(3)?

    30
  5. Pia adds two clubs' savings. Club A saves f(w) dollars after w weeks (see the table). Club B saves g(w) = w² − 4 dollars. What is f(3) + g(3)?

    19
  6. Ren plots a V-shaped ski run. The graph shows f(x). For how many inputs x is f(x) = 4?

    2
  7. Tala plots a bumpy trail. The graph shows f(x). For how many inputs x is f(x) = 5?

    4
  8. Zee plots a tree's zigzag shadow. The graph shows f(x). For how many inputs x is f(x) = 4?

    3
  9. Bo's robot follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 3?

    2
  10. Esme's lamp follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 5?

    1
  11. Kira's rocket follows the relation y² = x (x is the input). How many y-values go with x = 9?

    2