8.7 functions defined by equations objective: to define a function by using equations. warm – up:...
TRANSCRIPT
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)
22 3 9x x 24 2x x 3x x
23x 14x
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 inputo 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.
25
3y x 2
53
f x x
f x
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)
x y = - ⅓ x + 5 Solution
0
3
6
9
12
13 0 5 5
13 3 5 4
13 6 5 3
13 9 5 2
13 12 5 1 12,1
9,2
6,3
3,4
0,5
2
4 2 3
5
f x x g x x
h x x
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)
12
2
1 3 2
10
f x x g x x
h x x
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
22 5 3 1f x x g x x