The domain of the relation {(-2,1), (4,0), (-3,3)}. Is this relation a function?
What is {2, 4, -3}? Yes, it is a function.
100
Is the set a function? Why or why not?
{(1, -2), (4,1), (3,-2)}
Yes, it is a function. X-values do not repeat.
100
Find f(3) if f(x) = x^2 - 2x
3
100
Determine the x- and y- intercepts of -2x - 3y = 6.
x-intercept: (-3, 0)
y-intercept: (0, -2)
100
Write the equation in Standard Form: y = -3/5 x - 5
3x + 5y = -25
200
The range of {(3,6) , (4,2), (5,6) }.
What is {2, 6}.
200
Is the set a function? Why or why not?
{(1,1) , (2,1), (1,3)}
No, it's not a function because the x-values repeat with different y-values.
200
Find g(-2) if g(x) = -3x^2 + 2x.
-16
200
Name the slope and y-intercept of the line whose equation is 3x - 2y = -10.
slope: 3/2
y-intecept: 5
200
Write slope-intercept form of a line with slope of -3 and through the point (0, -5).
y = -3x - 5
300
The domain of the mapping below. Tell if it is a function.
-3 ---> -2
2 ---> -3
0 ---> 4
What is {-3, 0 , 2}. Yes, it's a function.
300
Which is not a function? Why not?
a) y = 3x^2 + 5
b) x = 5y^2 - 2
c) y = 3
x = 5y^2 - 2. One x-value would be associated with two different y-values.
300
Find h(4) if h(x) = -x^2 + 2
-------------
7
-2
300
Graph y = 2/3 x - 4
See board
300
Write the equation for the line through (4, -2) and parallel to y = -3x + 6
y + 2 = -3(x - 4)
or
y = -3x + 10
400
The range of the table of values below: Is it a function?
x | 5 | -3 | 4 | -3 |
-----------------------
y | 3 | 2 | -1| 0 |
What is {-1, 0, 2, 3}. No, it's not a function.
400
What is the vertical line test and how do you use it?
The vertical line test is used to determine if a graph is the graph of a function. In order for the graph to be a function, a vertical line can only intersect the graph once.
400
Find f(-5) if f(x) = x^2 + 3x - 2
8
400
A line goes through (4, -1) and has a slope of -2. Graph this line.
See board.
400
Write the equation for the line through (-3, 1) and is perpendicular to 4x + y = 7.
y - 1 = 1/4 (x + 3)
or
y = 1/4 x + 7/4
or
y = 1/4x + 1.75
500
Graph the line y = 2x + 1. What is the domain of this function?
What is "all real #s"?
500
Sketch the graph of a parabola opening sideways, a circle, and an absolute value graph opening up. Which is a function and why?
The absolute value graph is a function. It is the only one that passes the vertical line test.
500
Is (5,7) contained on the graph of f(x) = 2x - 3? Show why or why not.
Yes, because when (5,7) is replaced into the equation you get a true statement.
500
Graph 3x - 4y = -12 by finding the x- and y-intercepts.
x-intercept: (-4, 0)
y-intercept: (0, 3)
See board for graph.
500
Are the lines 3x + 5y = 15 and y = -3/5 x - 8 parallel, perpendicular, or neither? Justify your answer.
parallel, because they have the same slope (-3/5), but different y-intercepts.