Consider two functions: g(x) 20(1.5)^x and the function f(x) shown in the table. which statements are true?

the complete question in the attached figure

using a graphical tool ---------------- > see attached figures

1 f(1) is less than g(−1) 

we have that 

f(1)=-33 and g(-1)=20(1.5)^(-1)=20*(1/1.5)=13.33-------- > g(x) is not negative

therefore

f(1) is less than g(−1)---------------- > true

2. f(x) increases at a faster rate than g(x) does on the interval (−5, −3) .

g(-5)=2.634   g(-3)=5.926   (5.926/2.634)=2.25

2.25-1=1.25--------------- >the rate increases at 125%

f(-5)=-45   f(-3)=-49      49/45=1.09

1.09-1=0.09--------------- >the rate increases at 9%

in the interval (−5, −3) g(x) increases at a faster rate than f(x)

therefore

f(x) increases at a faster rate than g(x) does on the interval (−5, −3)---> false

3. g(x) has a greater y-intercept than f(x) does

g(x)  y-intercept----------- > is 20

f(x)  y-intercept----------- > is -40

20>-40

therefore

g(x) has a greater y-intercept than f(x) does--------------> true

4. f(x) and g(x) are both increasing on the interval (−∞, ∞)------> true

the answers are

f(1) is less than g(−1)

g(x) has a greater y-intercept than f(x) does

 f(x) and g(x) are both increasing on the interval (−∞, ∞)

$15 each

step-by-step explanation:

$45/3 children= $15 each