Question

the graph of a function g is shown below. find g(-1) and find one value of x for which g(x)=-1.

Explanation:

Step1: Find $g(-1)$

Locate $x = - 1$ on the x - axis. Then, find the corresponding y - value on the graph of the function $g$. From the graph, when $x=-1$, the value of the function $y = g(-1)=3$.

Step2: Find $x$ for $g(x)=-1$

Locate $y = - 1$ on the y - axis. Then, find the x - values where the graph of the function $g$ intersects the line $y = - 1$. From the graph, one such x - value is $x = 1$.

Answer:

(a) $g(-1)=3$
(b) One value of $x$ for which $g(x)=-1$: $x = 1$