1. 8.7 Functions Defined by Equations Objective: To define a function by using equations. Warm – up: Evaluate each expression if x = -2. 1) 2) 3) 4)5)

2. 8.7 Functions Defined by Equations Introduction. o What does an equation look like? o What do we know about functions? o For each output, there is exactly one input o It must pass the “Vertical Line Test” o If we know an equation is a function, it can be written as: o If an equation is automatically given to us as we know from the start it is a function.

3. 8.7 Functions Defined by Equations Introduction. o How did we find values for an equation? o We made a chart… o How do we find values for a function? o We simply plug in! o Find the following values: o f(2)f(-3) o g(-1)g(4) o h(0)h(2) xy = - ⅓ x + 5Solution

4. 8.7 Functions Defined by Equations Given the following functions, find the requested values. o o f(6)g(-3) o h(0)g(5) o g(-4)f(-10) o h(-2)f(-1)

5. 8.7 Functions Defined by Equations Given the following functions, find the requested values. o o f(0) o g(2) o f(-2) o g(-2) Homework: – Function #3 Worksheet #1 – 17 all