| 
 
 
 
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)      (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. 
  | 
 
  
 
 |   
 
 |   
 |  |