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: weeks	output f(w): dollars
   0	5
   1	8
   2	11
   3	14

2. 1.

   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. 2.

   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
4. 3.

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

   2
5. 4.

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

   4
6. 5.

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

   3
7. 6.

   Ari plots a tent's roof line. The graph shows f(x). For how many inputs x is f(x) = 5?

   2
8. 7.

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

   2
9. 8.

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

   1
10. 9.

    Jun's gift box follows the relation x² + y² = 25 (x is the input). How many y-values go with x = 6?

    0
11. 10.

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

    2