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