Algebraic Expressions
the product of a number, x and 7.
7x
6 - (3 x 8) / 6
-3
{(-2, 4), (3, 2), (2, 10)} Domain?
D: {-2, 3, 2}
Put these ordered pairs into a table. (-5,-2) (-2,-1) (0,1) (2,3) (4,-5)
x y
-5 -2
-2 -1
0 1
2 3
4 -5
Is the graph linear or nonlinear?
Nonlinear
List one way to write the algebraic expression 9 + 3x
Nine plus the product of three and a number, x.
f(x) = –7x Find f(-4)
28
{(-6, 8), (-4, 2), (-4, 5)} Range?
R: {8, 2, 5}
Draw a mapping diagram of the coordinate pairs: (-5,-2) (-2,-1) (0,1) (2,3) (4,-5)
D R
-5 --> -2
-2 --> -1
0 --> 1
2 --> 3
4 --> -5
https://math.tutorvista.com/calculus/nonlinear-function.html
Identify any relative extrema.
Relative Max: x= -0.8
Relative Min: x= 2
5 less than twice a number, x.
2x - 5
-3 - 4(22)
-19
For f(x) = -3x + 14, find f(-5).
29
Create a table of ordered pairs for the function y = x2 – 4 Use values x = –3, –1, 0, 1, and 3.
X Y
-3 5
-1 -3
0 -4
1 -3
3 5
http://crazyaboutmath.pbworks.com/w/page/15555421/Graphing%20Nonlinear%20Functions
Describe when the graph is increasing and when the graph is decreasing.
increasing: x > 0
decreasing: x < 0
A plumber charges $25 for a service call plus $50 per hour of service. Write an expression after h hours of service.
50h + 25
Give an example of the Substitution Property.
Ex) 7 + 2 = 9
f(x)= 4x2 - 3x + 2, find f(-2).
24
Which relation below does not represent a function? [A] {(1,-5), (3,1), (-5,4), (4,-2)}
[B] {(1,-5), (-1,6), (1,5), (6,-3)}
[C] {(2,7), (3,7), (4,7), (5,8)}
[D] {(3,-2), (5,-6), (7,7), (8,8)}
B
At what values is the graph negative?
between x = -1 and x = 2
and when x < -4
Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, the movie ticket cost $2.00 each. Write an expression to represent how much money is spent after m movies.
40 + 2m
List two properties that are being used to simplify the following expression:
4 + (23-8)
Additive Inverse and Additive Identity
Alicia’s mom wants to know how much Alicia spent renting a tube at Splashtown. The cost was $3 for each hour the tube was rented. What is the independent variable?
time spent tubing
A relation exists between a toy store’s profit and the number of toys it sells. In this relation, what is the dependent variable?
The store's profit
https://study.com/academy/lesson/determining-intercepts-for-nonlinear-functions.html
Identify the x- and y-intercepts AND explain what they mean.
y-intercept: (0, 2250)
when the car was first bought, it had a value of $2,250
x-intercepts: (7, 0) and (17, 0)
after 7 years and again after 17 years, the car has zero value