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Maths-

SAT

Easy

Question

$f left parenthesis x right parenthesis equals left parenthesis x plus 4 right parenthesis left parenthesis x minus 1 right parenthesis left parenthesis 2 space x minus 3 right parenthesis$
The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the x y-plane?

(- 4,0)
$(- \frac{2}{3}, 0)$
(1,0)
$(\frac{3}{2}, 0)$

The correct answer is: $open parentheses negative 2 over 3 comma 0 close parentheses$

x-intercept $rightwards double arrow$ y = 0
(x+4) (x-1) (2x-3) = 0
$rightwards double arrow$ x+4=0 or x-1=0 or 2x-3 = 0
$rightwards double arrow$ x=-4 or x=1 or x= $3 over 2$
The x-intercept are (-4, 0) or (1, 0) or ( $3 over 2$ , 0)

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