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erica [24]
3 years ago
5

Which statement is true regarding the graphed functions?

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

The correct option is \boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}.

Further explanation:

Consider a function f\left(x\right) as y.

\boxed{f\left(x\right)=y}                                                     ...... (1)

Consider the function g\left(x\right) as z.

\boxed{g\left(x\right)=z}                                                   ...... (2)

Substitute 0 for x in equation (1) to obtain the value of f\left(0\right) and also the value of f\left(0\right) can be obtained from the graph by finding the value of y at x=0.

\boxed{f\left(0\right)=4}

Substitute 2 for x in equation (1) to obtain the value of f\left(2\right) and also the value of f(2) can be obtained from the graph by finding the value of y at x=2.

\boxed{f\left(2\right)=0}

Substitute -2 for x in equation (2) to obtain the value of g(-2) and also, the value of g(-2) can be obtained from the graph by finding the value of z at x=-2.

\boxed{g\left({-2}\right)=0}

Now check the option that is satisfied by the obtained value.

In the option (a) the value of f(0) is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of f(0) is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of f(2) is 0 which is equal to the obtained value and the value of g(-2) is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of f(-2) is 0 but from the graph it can be observed that the value of f(-2) is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.

katen-ka-za [31]3 years ago
7 0

let's analyze each case to determine the solution

<u>case 1) </u>f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

<u>case 2) </u>f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

<u>case 3) </u>f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

<u>case 4) </u>f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true





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