Question

Kayla and Jody are working at a station. They have been given four cards with four different functions on them.

Function A   Function B     Function C    Function D
f(x)=2^x+1   f(x)=2(x‒1)^2   f(x)=2x+2      f(x)=2x^2‒1

Kayla states that Function D always exceeds the other functions. Jody doesn't think Kayla's statement is true. Which values of x disproves her claim? Explain your reasoning.

Answer 1

If x=0, then f(x)=-1. The value of -1 makes Function D less than any of the other functions.
f(0)=2(0^2)-1
=2(0)-1
=0-1
=-1