3.5 Graphing Linear Equations in Slope Intercept Form
3.7 Graphing Absolute Value Functions
100
What is a function?
Where each input has exactly one output.
100
How do you write y in function notation?
f(x)
100
What type of line is the following Equation?
x=6
Vertical Line
100
What is the slope intercept form of a equation?
Label the two parts of the equation.
y = mx +b
m = slope
b = Y intercept
100
What is the symbol for absolute value equations?
Straight bars
| |
200
Determine whether the following is a function:
(4,0), (3,5), (4,6), (2,9)
No. The 4 repeats itself.
200
Evaluate the function f(x)=-3x+5 for x = -4
f(-4) = 17
200
What type of line is the following Equation?
y=3
Horizontal Line
200
A slope of a vertical line is what?
Undefined
200
What is the definition of a vertex?
The point where the graph changes direction.
300
What is the Vertical Line Test?
A Graph represents a function when no vertical line passes through more than one point on the graph.
300
Evaluate the function f(x)=|-2x-6| for x = 2
f(2) = 10
300
How do you find the x intercept of a equation?
Find the x intercept of 3x+4y=12
You plug 0 in for y
(4,0)
300
How do you find the slope between 2 points?
m = (y2-y1)/(x2-x1)
300
What is the Vertex form of a absolute value function?
f(x) = a|x-h|+k
Vertex = (h,k)
a = slope of the v
400
Is the following function linear or nonlinear?
y = 3x+6
Linear
400
4. Let c(t) be the number of customers in a department store t hours after 8 A.M.
Explain the meaning of the statement.
c(4)=46
At Noon there are 46 customers.
400
How do you find the y intercept of a equation?
Find the y intercept of 3x=6y-12
Plug 0 in for x.
(0,2)
400
What is a constant function?
A horizontal line with a slope of 0.
400
Find the vertex and the a value of the following function.
h(x)=3|x+6|+5
Vertex: (-6,5)
a=3
500
What is the difference between discrete and continuous domain?
A discrete domain is set of input values that consists of only certain numbers.
A Continuous domain is a set of input values that consists of all numbers.
500
The function C(x)=29x + 54.5 represents the cost (in dollars) of cable for x months, including the $54.50 installation fee.
a. How much would you have spent on cable after 6 months?
C(6) = $228.50
500
Use the x and y intercepts to graph the following equation.
2x-y = 4
X intercept: (2,0)
Y intercept: (0,-4)
Graph: On Paper
500
Find the slope, y intercept, and graph the following function.
3x+y=-3
Slope = -3
Y intercept = (0,-3)
Graph is on paper
500
Graph the function and find the domain and range.
r(x)=-2|x-5|+4
Vertex: (5,4)
a=-2
Domain: All Real numbers
Range: y<=4