Question

When I graphed the linear​ function, it turned out to be a wavy curve.

Choose the correct answer below.

A.

The statement makes sense because linear functions can have graphs with any shape.

B.

The statement does not make sense because a linear function has a​ straight-line graph.

C.

The statement makes sense because a linear function can have a rate of change that increases or decreases.

D.

The statement does not make sense because a linear function can have a rate of change that increases or decreases.

Answer 1

B. The statement does not make sense because a linear function has a​ straight-line graph.

Explanation:

Linear functions have a general form y = m*x +b and only yield straight-line graphs. Therefore, the statement does not make sense, either the graphed function is not linear, or there was an error in the graphing process. The answer is alternative B.

*Note that alternative D is wrong because it is incomplete, since linear functions can have a rate of change that increases (m > 0), decreases (m < 0) or that is zero (m = 0).