All About Linear Functions
Intercepts
Function Notation
Slope
Graphing Linear Functions
Rando
100
What is the shape of the graph of a linear function?
Linear functions are those whose graph is a straight line.
100
What are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
If f(x) = -2x+3, find f(-100)
f(-100) = 203
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1/1. Down one, right 1.
100
The slope of the line y = -3x + 2 and the instructions the slope gives you for graphing.
Slope is -3.
Down 3, right 1 or up 3, down 1.
100
What makes a relation a function?
Every input is paired with exactly one output.
200
What is an x-intercept?
The point where a line crosses the x-axis.
200
TRUE or FALSE
A line with a slope that is undefined has a y-intercept
FALSE...it does not go through the y-axis
200
How do you say "f(x)"?
"f of x!"
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
True or False:
The slope of a vertical line is zero.
False. The slope of a vertical line is undefined.
200
What is the domain of a vertical line that goes through the point (-5, 4)?
Domain: {-5}
300
Function or Not?
x -1 2 5 2
y -2 7 16 25
Not a Function
300
What are the x and y-intercepts of the linear function
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
If g(x) = -2x2+2x, find g(-3).
g(-3) = -24
300
What is the slope of a horizontal line
0
300
Function or Not?
x 0 2 6
y -1 1 5
Function
300
When is your test?
Friday, November 8
400
In Slope Intercept Form, what letter represents slope and what letter represents the y-intercept?
m = slope
b = y-intercept
400
True or False
To find the x-intercept, you let x equal zero.
False
400
If g(x) = x+4, find x if g(x) = 12
x=8
400
Draw a slope that is undefined.
Vertical line
400
If the domain of a linear function is all real numbers, what is the range of the function?
All Real Numbers
400
If no domain is given for a linear function, what domain do you assume?
All real numbers!
500
What is a y intercept?
The point on a graph where the line crosses the y axis.
or
The coordinate where the x value is 0.
500
T or F
When graphing in Slope - Intercept form, y = mx + b, the y stands for the y-intercept
False
b stands for the y-intercept
500
If h(x) = x2, find x if h(x) = 4.
x = 2 or x = -2.
500
What is the formula used to find Slope?
the steepness of a line
500
True or False: When graphing lines in Standard Form, you always need to solve for y before graphing.
False. You can find the x and y intercepts.
500
True or False
If a linear function has a domain of all real numbers, then it is continuous.
True.