Definitions
What is a Function?
A rule or machine with inputs and outputs
Name the 4 different ways to represent functions
Table, Mapping Diagram, Graph or equation.
What is a linear function?
A function whose graph is a straight line with no curves.
In the equation f(x)= 3x+9 what does the f(x) represent?
The function of x
the y in y= mx+b
In y=2/3x+8 what is the slope and how do we graph it
slope is 2/3
up 2
right 3
What is Range?
A complete list of all the outputs of a function
Draw a mapping diagram of the function
x= { -2, 1, 3, 4}
y= {3, 5, 6}
Yes!
How do you find the x and y-intercepts in a linear equation?
Plug in 0 for the other variable
Find f(2)
f(x)= 1/2x-8
f(2) = -7
What is the formula used to find the slope of a line that passes through 2 given points
y2-y1 / x2-x1
What is Domain?
A complete list of all the inputs of a function
Let y=x+4
Domain of {0,1,2,3,4}
What is the Range?
Range {4, 5, 6, 7, 8}
Is the following a linear function? If so what is the line 4x-1/2y=7+5x
Yes it is linear.
y=-2x-14
find f(4)
f(x)= -3/4(x) +9
f(4)= -12
With your arms demonstrate what a
positive slope is
negative slope
zero slope
Undefined slope
positive slope /
negative slope \
zero slope __
undefined slope |
What is an x-intercept?
What is a y-intercept?
X-int is the point at which the graph crosses the x-axis.
Y-int is the at which the graph crosses the y-axis
A relation is a function if and only if any vertical line drawn can touch 1 or less points of the relation.
What is the name of this test?
Vertical Line Test
Is (2+x)(x+1)=3x a linear function?
No, an x2 is not a linear function
Find f(x) =13
f(x)= -3/4x+7
x=-8
What is the vertex of the equation
y+3= |x+4|
(-4, -3)
What is a Discrete graph?
What is a Continuous graph?
Discrete graph is a graph that consists of separate, distinct points not connected by lines.
Continuous graph is a graph that is drawn with no breaks or gaps
Is this a function?
(1, 3) (2, -2) (4, 1) (6, 5) (4, 6)
No
Find the intercepts of the linear function
10x-20y=-80
x= (-8,0)
y=(0,4)
Let f(t) be the be the number of fans at a Lions game t hours after the gates open at 10am.
Explain the meaning of
f(2)=f(4)
The number of fans at 12p.m. is equal to the number of fans at 2 p.m.
Make an x/y chart for the absolute value graph
y+1=2|x+3|
7 total points
x | y
-6| 5
-5| 3
-4| 1
-3| -1
-2| 1
-1| 3
0| 5