Functions
A set of points with no repeat x-values
Given the sequence:
2,5,8,11,...
Whats the Zero term?
-1
Describe what the rate of change (or slop is).
It is the change in y over the change in x.
What is the equation for Slope-intercept Form?
y=mx+b
If the slope is 3 and the y-intercept is 9, what is the equation?
y=3x+9
Describe the Vertical Line test and what it tells us.
Given the sequence:
5,1,-3, -7, ...
What is the sequence going up/down by?
- 4
Down 4
What is the difference between rate of change and slope?
Rate of change is use when we talk about a situation, slope is just for a given line or equation.
What is the y-intercept and slope of the following equation:
y=-2x-5
y-int: -5
Slope: -2 (down 2 right 1)
3x-2y=8
y=3/2x-4
Does the following set of points represent a function.
{(2,4),(3,6),(-2,8),(-1,10),(4,-2)}
YES - No repeat x-values
{(2,4),(3,6),(-2,8),(-1,10),(4,-2)}
Write the equation for the following sequence:
12,11,13,14,...
y=x+11
What is the Rate of Change of the following graph.
(ScreenShot 1)
40 miles per hour
You will go up 3 and to the right 4.
What is the equation for Point-Slope form?
y-y1=m(x-x1)
If f(x)=3x-12, What is f(-2)?
f(-2) = -18
f(x)=3(-2)-12
Write the equation for the following sequence:
-3,-6,-9,-12,...
y=-3x+0
y=-3x
What is the Slope of the following Graph?
(ScreenShot 2)
2/3
Graph the line:
y=2/3x-4
Check Graph.
Write the equation for the following graph.
(ScreenShot 4)
y=-3/2x+3
If f(x)= -2+5x and g(x)=3x-9, What is f(1)+g(-3)?
f(1)+g(-3)= -15
f(1)= -2+5(1) + g(-3)=3(-3)-9
3+(-18)
Write the equation and find the 14th term for the following sequence:
0, 0.5, 1, 1.5...
y=0.5x-0.5
What is the rate of change of the following graph?
(ScreenShot 3)
0.75 gallons per minute
Graph the line x=-2.
Check graph.
Write the equation for the line if the slope is 3 and it goes through the point (-2,4). (use point-slope form)
y-4=3(x+2)