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AssignmentMultiple Select

Comparing Slopes and Intercepts

Question 1 • Junior Studies (Math) - A (Mrs. Hitchcock) 26-27

Which of the following are true of linear functions? Select all that apply.

Answer
A
There is exactly one output for each input.
B
The graph of a linear function is a straight line.
C
A linear function can cross the y-axis in two places.
D
A linear function has a constant rate of change.
E
A linear function must cross the x-axis.

Explanation

A function assigns exactly one output to each input, so A is true. A linear function graphs as a straight line and has a constant rate of change, so B and D are true. It can cross the y-axis in only one place, and it does not have to cross the x-axis—for example, the line y = 2 never crosses it—so C and E are false.

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