Based on the graph of the function y=g(x) shown below, answer the following questions.a) Evaluate each of the following.Illustrate with a point graph.
g(-2)= g(0)=
g(3)= g(7)=
(b) What values of x solve the equation g(x)=0? These are called the zeros of the function
(c)How many values of x solve the equation g(x)=2? How many can you illustrate your answer on the graph?
Answers
g(3)=4. g(7)=0
b. -3,1,5,7
c. 4 values can solve it
The value of a function is its point on the graph that corresponds to the value of the input variable.
[tex]g(-2) = g(0) = -3[/tex] [tex]g(3) = 4[/tex] [tex]g(7) = 0[/tex].The values of x when g(x) = 0 are -3, 1, 5 and 74 values of x solve g(x) = 2Given that:
[tex]y = g(x)[/tex]
(a) g(-2), g(0), g(3) and g(7)
From the graph, we have:
[tex]g(-2) = -3[/tex]
[tex]g(0) = -3[/tex]
[tex]g(3) = 4[/tex]
[tex]g(7) = 0[/tex]
So, we have:
[tex]g(-2) = g(0) = -3[/tex]
[tex]g(3) = 4[/tex]
[tex]g(7) = 0[/tex]
(b) The values of x when g(x) = 0
These are the points where the graph crosses the x-axis.
The graph crosses the x-axis at: x = -3, 1, 5 and 7
Hence, the values of x are: -3, 1, 5 and 7
(c) The count of values of x for g(x) = 2
This is the number of times the graph passes g(x) = 2
The graph passes g(x) = 2, 4 times.
Hence, 4 values of x solve g(x) = 2
Read more about graphs and functions at:
https://brainly.com/question/18806107
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