The height of a small rise in a roller coaster track is modeled by f(x)= −0.07x^2+ 0.42x+ 6.37 where x is the distance in feet from a supported pole at ground level. 1. Find the greatest height of the rise.

6.37

Step-by-step explanation:

f(x)= −0.07x²+ 0.42x+ 6.37

1. Find the x-coordinate. x= -(b/2a)

= -(0.42/-0.07) = 6

x=6

2.  Find the corresponding y-coordinate.

f(x)= −0.07x²+ 0.42x+ 6.37

substitute x with 6

-0.07(6)²+0.42(6)+6.37

Simplify

-2.52+2.52+6.37=

6.37

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

irrational, cannot