the graph of a certain function y = f(x) and the zero of that function is given. using this graph, find a)…

the graph of a certain function y = f(x) and the zero of that function is given. using this graph, find a) the x - intercept of the graph of y = f(x) and b) the solution to the equation f(x)=0. a. a) 0 b) x = - 5 b. a) - 5 b) x = 0 c. a) - 5 b) x = - 5 d. a) - 6 b) x = - 6

the graph of a certain function y = f(x) and the zero of that function is given. using this graph, find a) the x - intercept of the graph of y = f(x) and b) the solution to the equation f(x)=0. a. a) 0 b) x = - 5 b. a) - 5 b) x = 0 c. a) - 5 b) x = - 5 d. a) - 6 b) x = - 6

Answer

Explanation:

Step1: Recall x - intercept definition

The x - intercept of the graph of (y = f(x)) is the value of (x) when (y = 0).

Step2: Identify from the graph

From the graph, when (y = 0), the value of (x) at the point where the graph crosses the (x) - axis is (x=-5).

Step3: Recall solution of (f(x)=0)

The solution of the equation (f(x) = 0) is the value of (x) for which the function (y = f(x)) has a (y) - value of (0).

Step4: Determine from the graph

Since the zero of the function is given as (x=-5) (where (y = f(x)=0)), the solution of (f(x)=0) is (x = - 5).

Answer:

C. a) - 5 b) (x=-5)