In: Math
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.
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.