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2. 7 / 9 points the graph of a function g is given. (a) state the value…

Question

  1. 7 / 9 points

the graph of a function g is given.
(a) state the values of the following.
$g(3) = $
$g(1) = $
$g(4) = $
$g(2) = $
(b) for what value(s) of x is $g(x) = 3$? (enter your answers as a co

Explanation:

Step1: Find g(3) from graph description

The function passes through (3, 2.5) in its second segment. So $g(3)=2.5$

Step2: Find g(1) from graph description

The function passes through (1, -1.5) in its first segment. So $g(1)=-1.5$

Step3: Confirm correct given values

$g(4)=0$ and $g(2)=1$ are already verified as correct.

Step4: Confirm g(x)=3 solution

The function has g(x)=3 at $x=-4$, which is verified as correct.

Answer:

(a)
$g(3)=2.5$
$g(1)=-1.5$
$g(4)=0$
$g(2)=1$
(b)
$x=-4$