Question

the graph of a function g is shown below. find one value of x for which g(x)=1 and find g( - 2). (a) one value of x for which g(x)=1: (b) g( - 2)=

Explanation:

Step1: Locate y - value of 1 on graph

Find the points where the graph of \(y = g(x)\) intersects the line \(y = 1\). Then read the corresponding x - values.

Step2: Locate x=-2 on graph

Find \(x=-2\) on the x - axis, then go vertically until you reach the graph of \(y = g(x)\) and read the corresponding y - value.

Answer:

(a) [Value of x from graph where \(g(x)=1\)]
(b) [Value of \(g(-2)\) from graph]

Since the actual graph values are not provided numerically, you would need to look at the specific graph to fill in the blanks with the correct numerical values for the x - value when \(g(x) = 1\) and the value of \(g(-2)\). For example, if from the graph you see that the graph of \(y = g(x)\) intersects \(y = 1\) at \(x = 2\) and when \(x=-2\), \(y=-1\), then the answer would be:
(a) 2
(b) - 1