Relations
Slope
Linear Equations
Functions
Mix
100
Is the following relation a function, explain why?
{(2,3), (1,4), (0,4), (-1,-1), (1,0)}
No, because the x value of 1 repeats itself.
100
Identify the slope of the following:
m=0
100
What is the equation for standard form?
Ax+By=C
100
Is the following relation a function? Explain how you know.
{(2,3), (4,-1), (-1,4), (3,3)}
Yes, none of the x values repeat.
100
If
f(x)=3x-2
and
g(x)=x^2+1
find f(-1).
f(-1)=-5
200
State the domain of this relation:
{(2,3), (1,4), (0,4), (-1,-1), (1,0)}
X- Values
{-1, 0, 1, 2}
*1 is not repeated twice*
200
Identify the slope of the following:
m=
-4/3
200
Is this equation linear?
y=-1/2x-7
Yes
200
Is the following relation a function? Explain how you know.
{(-4,2), (3,0), (1,1), (3,-2), (2,9)}
No, the x value of 3 repeats.
200
If
f(x)=3x-2
and
g(x)=x^2+1
find 2g(0).
2g(0)=2
300
State the range of this relation:
{(2,3), (1,4), (0,4), (-1,-1), (1,0)}
Y - Value
{-1, 0 3, 4}
*4 is not repeated twice*
300
Find the slope of the line through passing through the points (0,-2) and (3,4).
m=2
300
Is this equation linear?
y^2=x^2-4
No
300
List two ways to determine if something is a function or not.
1. Vertical Line Test
2. Make sure that there are no repeats in the domain (x-values)
300
If
f(x)=3x-2
and
g(x)=x^2+1
find f(1)+g(-2).
f(1)+g(-2)=6
400
State the inverse of the following relation:
{(2,3), (1,4), (0,4), (-1,-1), (1,0)}
{(3,2), (4,1), (4,0), (-1,-1), (0,1)}
400
Determine the value of r if the slope between (-5,r) and (2,1) is the slope is -2/7
r=3
400
Is this equation linear?
3/x+4/y=9
No
400
Is this relation a function? Explain how you know.
Yes, passes the vertical line test.
400
If
f(x)=3x-2
and
g(x)=x^2+1
find f(g(2)).
f(g(2))=13
500
Come up to the board and draw a mapping of the following relation:
{(2,3), (1,4), (0,4), (-1,-1), (1,0)}
500
Find the slopes of the line parallel and perpendicular to 3x+4y=-12
Parallel Slope (m=-3/4)
Perpendicular Slope (m=4/3)
500
Write the following in standard form and then identify A, B and C.
-1/4x=-3/4y+6
x-3y=-24
A=1
B=-3
C=-24
500
Is this relation a function? Explain how you know.
No the x value of 2 repeats itself.
500
Find the x and y intercepts of 6x+y=12
X - Intercept: (2,0)
Y - Intercept: (0, 12)