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Function A and Function B are linear functions. Function A [Graph of a line passing through (0, 2) and (2,...

Function A and Function B are linear functions.
Function A
[Graph of a line passing through (0, 2) and (2, 8).]
Function B
y = x − 3
Which statement is true?
The y-value of Function A when x = −3 is greater than the y-value of Function B when x = −3.
The y-value of Function A when x = −3 is less than the y-value of Function B when x = −3.

Answer

The second statement is true: The y-value of Function A when x = −3 is less than the y-value of Function B when x = −3.

From the graph, Function A is y = 3x + 2, so A(−3) = −7. Function B gives B(−3) = −3 − 3 = −6. Since −7 < −6, Function A has the smaller y-value.

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