Question

In: Math

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

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.

Solutions

Expert Solution

A linear function is: y = f(x) = mx + c , where m = slope, c = intersect

So, the graph of a linear function is always a straight-line with a constant slope. It can never be a wavy curve.

So, the statement does not make sense (option B is the correct answer).

In option C & D it is said that, 'a linear function can have a rate of change that increases or decreases' which is impossible because we know that a linear function have a constant slope i.e. rate of change of a linear function is constant.

In option A it is said that, 'linear functions can have graphs with any shape' which is also impossible because the graph of a linear function is always a straight-line.

So, the option A, C & D are wrong.

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

milcah answered 1 year ago
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