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 −45 0 −40 1 −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

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