Question

Which of the following functions will have only one turning point?​

Answer 1

Answer:

$f_1(x) = 5 {x}^{2} + 4$

is the correct answer.

Explanation :

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).

A polynomial of degree n will have at most

(n – 1 ) turning points.

So, in $f_1(x)$ function, there is degree

n= 2

so turning point = 2-1 = 1

N.B:

$f_4(x) = {x}^{2} ...$ this function is not visible to me.