SAT II Math II : Properties of Functions and Graphs
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Example Questions
Example Question #31 :Functions And Graphs
Find the y-intercept of the following equation:
In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:
Divide both sides by 2 to get y by itself:
This gives a final answer of y=3/2
Example Question #32 :Functions And Graphs
Find the y-intercept of the following equation:
In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:
Divide both sides by -1 to get y by itself:
This gives a final answer of y=-12
Example Question #33 :Functions And Graphs
Find the y-intercept of the following equation:
In order to find the y-intercept, set x=0 then solve for y. For this equation that looks as follows:
This gives a final answer of y=2
Example Question #34 :Functions And Graphs
What is the y-intercept of the following equation?
Rewrite the equation in slope-intercept form:
Our objective is to determine the value of
Add two on both sides.
Divide by 2 on both sides.
The value of
Example Question #35 :Functions And Graphs
What is the y-intercept of the following?
The y-intercept is the value of
Substitute the value of
The answer is:
Example Question #36 :Functions And Graphs
What is the x-intercept of the equation
The x-intercept is the value of x when
Add two on both sides, and then divide both sides by three.
The answer is:
例子问题# 37:Functions And Graphs
Define
Give the
The graph of
The graph of
Evaluate
A negative number cannot have a logarithm, so
Example Question #1 :Slope
What is the slopeof the line between the points (-1,0) and (3,5)?
For this problem we will need to use the slope equation:
In our case
Therefore, our slope equation would read:
Example Question #2 :Slope
What is the slope of the function
2
6
4
3
2
To find the slope of this function we first need to get it into slope-intercept form
To do this we need to divide the function by 3:
From here we can see our m, which is our slope equals 2
Example Question #3 :Slope
What is the slope for the line having the following points: (1, 5), (2, 8), and (3, 11)?
3
4
5
2
3
To find the slope for the line that has these points we will use the slope formula with two of the points.
In our case
Now we can use the slope formula:
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