Name: Brittany

 Answer: You are able to identify the x-intercepts/roots of the equation. You are able to use the discriminant formula to do this:

This equation will tell you whether the formula has 2 real roots (discriminant is greater than 0), 1 real root (discriminant is equal to 0), or 2 complex or unreal roots(discriminant is less than 0).

 Equation: 

Task 2:

To find the range of an exponential function using an equation all you need to know is the Vertical translation and if there is a verticle reflection or not.  The verticle translation will give you the asymptote, which is the line that the function will get closer and closer to but never cross.  This means that the range will be either greater than or less than the verticle translation.  To tell whether the line will be greater than or less than the VT look to see if there is a reflection or not, if there is no reflection the range will always be greater than the verticle translation.  If there is a verticle reflection than the range will be less than the verticle translation.

Math Britt.png 

VT: 2       VS: 5       Rx: None

HT: 4       HS: 1

Asymptote: 2

Y-Intercept: (0,2.06)

Range: yЄ(2, ¥)