Functions!
What is the domain?
{(1,2),(3,4),(5,6),(7,8)}
x=1,3,5,7
What is the slope between (2,-1) and (-10,8)
-3/4
How has the function been transformed?
y = |x - 3| + 4
Right 3, up 4
Parallel lines
Set up the matrix and EXPLAIN how you would solve it (do not actually).
3x + 2y + z = -5
-x + 3z + 7 = -2y
7z - 8y + 11 = x
3 2 1 x -5
-1 2 3 y -7
-1 -8 7 z -11
Use the inverse of the first matrix and multiply it by the last matrix to solve for x, y, and z.
Is this a function?
{(a,1),(b,2),(c,3)}
Yes
Which point lies on the line of 5y + 5 = 2(x - 3)
a) (2,-1)
b) (-7,-4)
c) (2,0)
d) (8,1)
D
How has the function been transformed?
y = 3|x + 11| -8
Vertical stretch by 3, left 11, and down 8
When solving systems, what would it mean if you get 7=7 as your final answer?
The system has infinite solutions.
Is this a function?
{(a,1),(b,2),(a,3)}
No
(y + 3) = 4(x - 5) can be rewritten in the form
y=mx + b. Write the slope-intercept of the equation.
y = 4x - 23
Write the equation of a quadratic equation that has been reflected over the x-axis, shifted right 2 units, and shifted down 5 units.
y = -(x - 2)2 - 5
Solve the system.
-2x + 9y = -52
6x + 11y = 4
(8,-4)
What is the range of x4?
[0,infinity)
The linear equation y = mx + b contains the point (-4,3) and is perpendicular to the line 5x + 20y = 9. What is the equation of the line?
y = 4x + 19
Write the equation of an absolute value equation that has been vertical compressed by a factor of 2.
(1/2)|x|
What are the three types of solutions a system of equations can have?
No solutions, one solutions, and infinite solutions.