Warm-up 12/14/12 1. Solve the system by any method 2. Set up the system of equations A math test is to have 20 questions. The test format uses multiple choice 3 8 5 2 2 18 x y x y
Jan 04, 2016
Warm-up 12/14/12
1. Solve the system by any method
2. Set up the system of equationsA math test is to have 20 questions. The test format uses multiple choice worth 5 points each and problem solving worth 6 points each. The test has a total of 100 points.
3 8 5
2 2 18
x y
x y
Unit 3: Linears and Exponentials
Function Notation, Combination of Functions
Characteristics of FunctionsProperties: Domain and Range,
Increasing and Decreasing, Intercepts, Asymptotes
Rate of ChangeSequencesTransformationsComparing Sequences and FunctionsGrowth and Decay Models
Key Ideas
04/20/23 Example 1 Are these Functions? If no, WHY NOT?
Input Output
-2 2
1 4
5 6
YES NO
Example 2
2
If f(x) = 2x2 + 3x -7, find f(-3)
Example 3
Given the functions
f(x) = 2x2 + 3x - 7 g(x) = x2 - 5x + 6
Find g(x) – f(x)
-x2 – 8x + 13
Domain:
Range:
x-int:
y-int:
Increasing or Decreasing
Example 4
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
Domain:
Range:
Asymptote:
Rate of Change [-2,0]:
Increasing or Decreasing
Example 5
( , )
( ,5)
5y3
2
Calculate the rate of change from,
(2, 5) to (0, 9).
2
Example 6
Write the formula of the following sequences...
5, -2, -9, -16,… 2, 8, 32, 128,…
12 4
n
na
Example 7
7 12na n
Describe the transformations.
f(x) = -(2)x+4 - 1
Example 8
• Reflect over the x-axis
• Left 4• Down 1
Growth
15%
200
611.80
Given the equation
a)Growth or Decay? ____________
b)What is the rate of growth or decay?
_______
c)What is the initial value? _________
d)Evaluate for x = 8 _________
Example 9
200(1.15)xy
You purchase a car for $24,000. The value of
the car decreases 6% each year.
Write an exponential equation describing the
situation.
What will the car be worth in 12 years?
Example 10
y = 24,000(.94)t
$11,422.09
Coach Riggins is getting the Lax team ready for the upcoming
season. For conditioning he has developed 2 plans:
Plan A: The team starts with 1 mile and increases a quarter of a
mile each day.
Plan B: The team starts with half a mile and it doubles every day for
the first week.
Write the equation for each plan.
Compare the Rate of Change, y-intercept for each.
Example 11
.25 1 y x
.5(2) xy
CW/HW
Mid-Term Unit #3 Review