Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

SAT

Easy

Question

The graph of the function f is shown in the xy-plane above, where y = f (x). Which of the following functions could define f ?

f (x) = (x − 3)(x − 1)²(x + 2)²
f (x) = (x − 3)²(x − 1)(x + 2)
f (x) = (x + 3)(x + 1)²(x − 2)²
f (x) = (x + 3)²(x + 1)(x − 2)

The correct answer is: f (x) = (x + 3)(x + 1)²(x − 2)²

x - intercepts at - 3, - 1, - 1, 2 and 2.
$therefore space f left parenthesis x right parenthesis space equals space left parenthesis x plus 3 right parenthesis left parenthesis x plus 1 right parenthesis left parenthesis x plus 1 right parenthesis left parenthesis x minus 2 right parenthesis left parenthesis x minus 2 right parenthesis f left parenthesis x right parenthesis space equals space left parenthesis x plus 3 right parenthesis left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis squared$

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.