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

Which statements are true?

Select EACH correct answer.

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

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

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

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

x-intercepts are when y=0. f(x) has two x-intercepts at (1, 0) and (5, 0). g(x) also has two x-intercepts; (-3, 0) and (5, 0). So the first one is false, and the second one is true.

The maximum value of f(x) is 2. The maximum value of g(x) is 4. So the third one is true.

The y-intercept is the value of y when x=0. So the y-intercept of f(x) is -1, and the y-intercept of g(x) is 3. So the fourth one is false.

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-05-20T08:23:33+02:00

The statement which is true are f(x) and g(x) have a common x-intercept (B) and the maximum value of g(x) is greater than the maximum value of f(x) (C).

What is x-intercept?

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis. The value of y is equal to zero at x-intercept.

The function f(x) shown in the graph has two x intercept (5,0) and (1,0). The x intercept of g(x) are (-3, 0) and (5, 0).

Similarly, the y-intercept is the point on the coordinate at which a line, curve or plane intersect with the y-axis. The value of x is equal to zero at y-intercept.

The function f(x) shown in the graph has one y intercept (0,-1). The y intercept of g(x) is (0, 3). Here the maximum value of f(x) is 2 while g(x) is 4.

Thus, the statement which is true are f(x) and g(x) have a common x-intercept (B) and the maximum value of g(x) is greater than the maximum value of f(x) (C).

Learn more about the x-intercept here;

https://brainly.com/question/8018800

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