Question

The speed of a rollercoastsr, in miles per hour, is modeled by the funtion g(x) = x⁴ - 4x² + 7x - 8, where x is time measured in seconds. How fast is the roller coaster travelling at 2 seconds?

Answer 1

6mph

Explanation:

Given the expression

g(x) = x⁴ - 4x² + 7x - 8

we are expected to substitute x=2 into the expression and return the result

g(x) = (2)⁴ - 4(2)² + 7(2) - 8

g(x) = 16 - 4x4 + 14 - 8

g(x) = 16 - 16 + 14 - 8

g(x) =14 - 8

g(x) =6

From the substitution the roller coaster is travelling at speed of 6mph