Types of Functions
What is the general shape of a Quadratic Function?
A U shape
How do you find the x-intercept of a function?
You find the points on the graph that the line crosses the x-axis.
In the function, f(x)=|x-3|+5 do we move horizontally by 3 or vertically?
Horizontally
Define the Domain of the function
The x value.
A Linear Function shows a diagonal line.
True
If a function has a y-intercept of 4, what does that mean in terms of the graph?
The line crosses the y-axis on (0,4)
If I wanted to move the line, f(x)=|x| up 7 spaces, what would my new equation look like?
f(x)=|x|+7
Define the Range of a function
The y value
Draw the function, f(x)=|x|
V
What is the x-intercept of f(x)=-3x+9?
(3,0)
If my line moves to the right 5, where do I see that in my equation?
True or false: y≥10 is the proper way to write out the range of a function.
True
Graph f(x)=√x
For the function, y=x2+6 find the y-intercepts and explain the process.
(0,6) I put the equation into the calculator and found where the line crossed the y-axis.
Draw both of these lines:
y=|x|
y=-|x+4|
Ms. Adair
What is the range of the function: f(x)=-|x-4|+6
y≤6, [6,-∞)
Describe what a cubic function looks like.
An elongated S
Find both the x & y-intercepts of y=-3x+9
(3,0) (0,9)
Explain the three ways this graph has changed.
f(x)=|x|
f(x)=-|x+6|-4
My graph flipped about the x-axis, transitioned to the left 6 and moved down 4.
What is the domain of the function: f(x)=|x+6|+2?
All Real Numbers
(-∞,∞)