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

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Kira traces a snail's curved trail, a sideways U. Is the graph a function?

   • Yes: it is a smooth curve with no breaks, so each input gets one output
   • No: the vertical line at x = 4 touches it at (4, 2) and (4, −2)
   • Yes: every input has an output
2. 2.

   Milo draws a U-shaped soup bowl. Is the graph a function?

   • No: the horizontal line at y = 4 touches it twice
   • No: it is not a straight line
   • Yes: no vertical line touches it twice
3. 3.

   Noah's robot follows the relation x = y² (x is the input). Test x = 9. Is it a function?

   • No: any equation with a square fails
   • Yes: the input 9 gives only y = 3 as its output
   • No: the input 9 gives y = 3 and y = −3
4. 4.

   Pia's puzzle uses the relation y = x² (x is the input). Test x = 3 and x = −3. Is it a function?

   • Yes: each input gives one output (3 and −3 both give 9)
   • No: any equation with a square in it fails the function test
   • No: the inputs 3 and −3 give the same output
5. 5.

   Tala's cat game uses the relation y = |x| (x is the input). Test x = 2 and x = −2. Is it a function?

   • No: the inputs 2 and −2 give the same output
   • No: any equation with bars fails
   • Yes: each input gives one output (2 and −2 both give 2)
6. 6.

   Zee plots a machine's inputs and outputs. The graph shows f(x). What is f(−1)?

   -4
7. 7.

   Bo plots a sneaker test. The graph shows f(x), a score. What is f(0)?

   -3
8. 8.

   Esme's bell rings louder over time. The graph shows f(x). For which x is f(x) = 5?

   2
9. 9.

   Jun's hat test is plotted. The graph shows f(x). For which x is f(x) = 7?

   3
10. 10.

    Kira's scarf grows longer. The graph shows f(x). For which x is f(x) = 8?

    4