Another word for input is.
Domain
Evaluate f(x)=-3x if x=2
-6
A line that is increasing from left to right has a ___________ slope
Positive
Find the slope of the line passing through the points (–2, 3) and (–8, –7) .
5/3
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
YES because every input (x) has exactly one output (y).
The set of all x-values or inputs of a function.
DOMAIN
Evaluate f(x)=2x+1 if x=-2
-3
This graph has a slope of _____________
Zero (0)
Which expression represents a line with a positive slope?
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
False, the points fail the vertical line test. (A vertical line touches more than one point.)
RANGE
Evaluate f(x)=-3 - x if x=6
-9
What kind of slope is this?
Undefined
What is the slope of the line passing through the points A and B, as shown on the graph below?
- 1/3
Is it a function?
x | y |
2 | 4 |
1 | 5 |
2 | 6 |
NO; the x-value of 2 has two y-values (4 and 6).
The test to tell if a graphed relation is a function
VERTICAL LINE TEST
Evaluate f(x)=20 - 8x if x=5
-20
What type of slope is this?
negative
What is the slope of the linear equation 5y − 10x = −15?
Remember y=mx+b
Slope=2
Is it a function?
YES! Passes the Vertical Line Test! Every x-value has only one y-value.
Draw a coordinate plane and label each quadrant correctly.
See Whiteboard.
Evaluate f(x)= xˆ2 + 5x - 8 if x=7
76
Name one of the slope formulas.
Is it a function?
NO; it does not pass the Vertical Line Test, for example x = -2 has two y-values.