AnswersAlgebra ILinear Piecewise Defined Functions — QuizQuestion 9
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Linear Piecewise Defined Functions — Quiz

Question 9 • Algebra I

A piecewise-function f of x is defined as shown. f of x is equal to negative 5 forths plus 90 when 0 is less than or equal to x and x is less than 40; f of x is equal to negative 3 eighths plus 75 when 40 is less than or equal to x and x is less than or equal to 200 Which table could be used to graph a piece of the function?

Answer
A
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '90' Row 3: Column 1, '16'; Column 2, '85' Row 4: Column 1, '40'; Column 2, '75'
B
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '0'; Column 2, '90' Row 3: Column 1, '40'; Column 2, '40' Row 4: Column 1, '200'; Column 2, '0'
C
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '40'; Column 2, '75' Row 3: Column 1, '120'; Column 2, '30' Row 4: Column 1, '200'; Column 2, '0'
D
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '40'; Column 2, '60' Row 3: Column 1, '160'; Column 2, '15' Row 4: Column 1, '200'; Column 2, '0'

Explanation

For 40 ≤ x ≤ 200, the function is y = −(3/8)x + 75. Substituting x = 40, 160, and 200 gives y = 60, 15, and 0, respectively, matching Table A. The first rule does not apply at x = 40 because its interval ends before 40.

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