Domain/Range
Slope (Increasing/Decreasing)
Intercepts/Zeros
Evaluate the Function
Transformations
1
If a point is INCLUDED, such as a solid line or solid dot, what math symbol do we use?
<=
1
What is the slope of this line?
m=-1/3
1
The y-intercept crosses which axis?
y-axis (the one that goes up and down)
1
y = 2x + 1 when x = -2
y = -3
1
y = -7x + 2
What is the value of "b"?
What is the value of "m"?
b = +2
m = -7
2
When we analyze a graph for domain and range, what two questions should we ask ourselves?
1. What are the lowest and highest values?
2. Are those values included or not included?
2
What is the slope of this line?
y = -4/5x+6
m = -4/5
2
A zero is also known as an ____________________.
x-intercept, where the function crosses the x-axis.
2
y = -7x+2. Evaluate when x = -1
y = 9
2
What is the translation (vertical shift: up/down)?
y = -2x + 4
Up or Down and by how many units?
Shifts UP by 4 units
3
What is the domain of the following graph?
-4<=x<=2
3
Is this a decreasing or increasing function?
Decreasing because it has a negative slope.
3
What is the zero of this function?
(4, 0)
3
f(x)= 2/3x+5
Evaluate f(-6)
y = 1
3
Vertical Stretch or Vertical Compression?
y= 1/3 x -5
Vertical Compression.
1/3 is less than 1
4
What is the range of the following function?
-1<=y<=5
4
Is this a decreasing or increasing function?
y=2x+5
Increasing because it has a positive slope.
4
What is the y-intercept?
y=3/5x-7
(0, -7)
4
f(x)= 1/7x-21
Evaluate f(-14)
f(-14) = -23
4
Vertical Stretch or Vertical Compression?
y = -4x+2
Vertical Stretch.
The "4" is greater than 1.
5
What symbol do we use when we see arrows at the end of the function?
<
We cannot include "infinity" in our function.
5
What is the slope of this line? Is it increasing or decreasing?
m=3/5
Increasing
5
What is the value of "b" for each graph?
Red Graph: (0, -3)
Blue Graph: (0, -1)
5
f(x)=2/3x-1/3
Evaluate f(2)
f(2) = 1
5
List all the transformations.
y = -6/7x+17
Vertical Compression.
6/7 is less than 1.
Shifts UP by 7 units.