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?

Based on the graph of the function ygx shown below answer the following questionsa Evaluate each of the followingIllustrate with a point graph g2 g0 g3 g7 b Wha class=

Respuesta :

a. g(-2)=-3. g(0)=-3
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 7
  • 4 values of x solve g(x) = 2

Given 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

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