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(1) is less than g(−1) .​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(x) and ​g(x)​ are both increasing on the interval (−∞, ∞) .x f(x)−5 −45−4 −48−3 −49−2 −48−1 −450 −401 −33

we have 
g(x)=20(1.5)x
f(x)

 Create a table with a different values of x for g(x)
see the attached table

1 f(1) is less than g(−1) -------------- > is true
f(1)=-33 and g(1)=30    f(1)< g(1)

2 f(x)​ increases at a faster rate than ​g(x)​ does on the interval (−5, −3) 
f(x)     for  x=-5  f(-5)=-45     for x=-3   f(-3)=-49  rate=(-49+45)/(-3+5)=-2
g(x)    for  x=-5  g(-5)=-150  for x=-3   g(-3)=-90  rate=(-90+150)/(-3+5)=30
 is a false statements 
because g(x)​ increases at a faster rate than ​f(x)​

3 ​g(x)​ has a greater y-intercept than ​f(x)​ does.
g(x)​ y-intercept is 0
f(x)​ y-intercept is -40
is a true statements
because 0>-40

4 f(x) and ​g(x)​ are both increasing on the interval (−∞, ∞) 
is a true statements