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Solve the absolute value inequality: 2| x + 3 | +4 ≤ 6
-4 ≤ x ≤ -2
This symbol: > means that a graphed absolute value inequality looks like what?
The solutions face away from each other. They're walking away.
This symbol: ≤ means that a graphed absolute value inequality looks like what?
The solutions meet in the middle
When writing the domain and range it's always from what?
smallest to largest
The infinity sign always gets a parenthesis or bracket?
(
What are the domain values?
The x values.
Is range the x or y values?
y-values
How many solutions does an absolute value equation have?
2
Find the inverse of y=(1/2)x+7
f − 1 ( x ) = 2 x − 14
What does D mean in a translation?
Shifts the graph up or down.
What does the C mean in a translation?
Shifts the graph right or left
What does the B mean in a translation?
Horizontal Stretch or Compression
What does the A mean in a translation?
Vertical Stretch or Compression
Graph the inverse of the graph, where is the vertex at now?
(1, -4)
What is the translation of the graph y= -|x-3|-4
Reflect over the x-axis, shifts right 3, down 4
How do I find the inverse of the points (3, -6) and (1, 9)
Flip the x and y's...... (-6, 3) and (9, 1)
If an absolute value graph has the vertex at the origin, where is there origin located? At what coordinate point?
(0,0)
Draw an absolute value graph with a minimum at (0,-2)
y=|x+2|
Draw an absolute value graph with a maximum at (0, 3)
y=-|x|+3
What are the 4 steps to solving for an inverse function?
1. Change f(x) to y, 2. Switch the x and y values, 3. Solve for y, 4. Change the y back to f-1(x)