MATH SOLVE

5 months ago

Q:
# 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.

Accepted Solution

A:

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

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