The table of values represents the function g(x) and the graph shows the function f(x).

Which statements are true?

Note: Select each correct answer.

Answer choices:
The maximum value of g(x) is greater than the maximum value of f(x) .

f(x) has a greater y-intercept than g(x).

g(x) has fewer x-intercepts than f(x).

f(x) and g(x) have a common x-intercept.

1) Maximum value of g(x) is 4, max value of f(x)=2
So, The maximum value of g(x) is greater than the maximum value of
f(x). True
2) For f(x) y(int)=-1; for g(x), y(int) is g(0)=3,
So f(x) has a greater y-intercept than g(x) is False
3) x intercepts when function is equal "0"
For g(x) we can see g)x)=0, 2 times.
For f(x) we can see 2 x-intercepts.
So, g(x) has fewer x-intercepts than f(x). False
4) x- intercepts for f(x) are f(1)=0, f(5)=0
x- intercepts for g(x) areg(-3)=0, g(5)=0
So, f(x) and g(x) have a common x-intercept. True

MubeenaD MubeenaD · Answer 2 · 2022-05-15T01:51:12+02:00

The maximum value of g(x) is greater than the maximum value of f(x) -True.

f(x) has a greater y-intercept than g(x) - False.

g(x) has fewer x-intercepts than f(x) - False.

f(x) and g(x) have a common x-intercepts - True.

What is maximum value?

Maximum value in mathematics, is " a point at which a function's value is greatest".

What is x-intercept?

The x-coordinate of "a point where a line, curve or surface intersects the x-axis".

What is y-intercept?

The y-coordinate of "a point where a line, curve or surface intersects the y-axis".

According to the question,

1) The maximum value of g(x) is greater than the maximum value of f(x)

maximum value of g(x) = 4

maximum value of f(x) = 2

Hence, The maximum value of g(x) is greater than the maximum value of f(x) -True

2) f(x) has a greater y-intercept than g(x)

For f(x), y(intercept) = f(0) = -1

For g(x), y(intercept) = g(0) = 3

Hence, f(x) has a greater y-intercept than g(x) is False.

3) g(x) has fewer x-intercepts than f(x)

We know that, x-intercepts when the function is equal to "0".

For g(x), we can see g(x) = 0 for 2 times

For f(x), we can see two x-intercepts.

From this, g(x) has fewer x-intercepts than f(x) is False

4)f(x) and g(x) have a common x-intercepts

x-intercepts for f(x), f(1) = 0,f(5) = 0

x-intercepts for g(x), g(-3) =0, g(5)=0.

Hence, f(x) and g(x) have a common x-intercepts is True

To learn more about x-intercepts here

https://brainly.com/question/13346147

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