Linear Functions — Quiz

Question 9 • Algebraic Reasoning

Which graph shows a linear function?

Answer

Image with description On a coordinate plane with x and y axes marked with negative 5 to 5, there is a curve drawn from quadrant 3 to quadrant 1. It passes through the point (negative 2 comma negative 2) and opens to the right side. It passes through the origin opening to the left side it passes through the point (2 comma 3)

Image with description On a coordinate plane with x and y axes marked with negative 5 to 5, there is a straight line of positive slope passing through ( negative 2 comma 5), (0 comma 3), (3 comma 0) and (5 comma negative 2)

Image with description On a coordinate plane with x and y axes marked with negative 5 to 5, two lines make a V shape. One line passes quadrant 2 through the point (negative 3 comma 3) and reaches the origin. The other line starts from the origin and passes quadrant 1 though the point (3 comma 3)

Image with description On a coordinate plane with x and y axes marked with negative 5 to 5, there is a parabola opening upwards with its vertex at the origin and passing through (negative 2 comma 2) and (2 comma 2).

Explanation

A linear function has a graph that is one straight line, so its rate of change is constant. Choice B shows a straight line through the listed points, such as (0, 3) and (3, 0). The other choices show a curve, a V shape, or a parabola, so they are not linear functions.

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