SOLUTION: Consider two functions: g(x)=20(1.5)x and the function ​f(x)​ shown in the table. Which statements are true? Select each correct answer. f(x) and &#

Algebra ->  Functions -> SOLUTION: Consider two functions: g(x)=20(1.5)x and the function ​f(x)​ shown in the table. Which statements are true? Select each correct answer. f(x) and &#      Log On


   



Question 1078736: Consider two functions: g(x)=20(1.5)x and the function ​f(x)​ shown in the table.

Which statements are true?
Select each correct answer.

f(x) and ​g(x)​ are both increasing on the interval (−∞, ∞) .
​f(x)​ increases at a faster rate than ​g(x)​ does on the interval (−5, −3) .
​g(x)​ has a greater y-intercept than ​f(x)​ does.
​ f(1) is less than g(−1) .
x f(x)
−5 −45
−4 −48
−3 −49
−2 −48
−1 −45
0 −40
1 −33

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x f(x)****g(x)
−5 −45 ** -150
−4 −48***-120
−3 −49***-90
−2 −48***-60
−1 −45***-30
0 −40***0
1 −33**30
The first is not increasing on the entire interval, so a is not true.
f(x) is NOT increasing at a faster rate than g(x) on the interval.
g(x) DOES have a greater y-intercept than f(x) TRUE.
f(1) IS less than g(-1) TRUE.