Question | Answer |
Find the equation that goes through the points (3,-8) and (5,12). Write in function notation. | Slope (M) = 10
Function notation (using point (5,12)): f(x)=10x-115 |
What is function notation? | Function notation is the "x" value of a point. When written as "f(3)=10", the corresponding point is (3,10). |
What is the difference between (1) -squareroot of a, (2) squareroot of a, and (3) squareroot of -a? | (1) The answer for these types of square roots are -a.
(2) The answer for these types of square roots is a.
(3) The answer for these types of square roots are NOT real numbers. |
Solve for the following:
(1) -Squareroot of 36
(2) Squareroot of -121
(3) Squareroot of 169 | (1) -6
(2) Not a real number
(3) 13 |
What is a nonlinear function? | Nonlinear functions are:
f(x)=x^2 (squared)
f(x)=IxI (absolute value)
f(x)=squareroot of x |
Describe the graph:
(1) f(x)=x^2
(2) f(x)=IxI
(3) f(x)= squareroot of x | (1) Parabola
(2) V-shaped
(3) Curved to the right |
How do you move a graph vertically? | y=mx+b -> the "b" moves the graph up and down. +b moves up, -b moves down.
g(x)=f(x)+k -> same concept as "b" |
How do you move a graph horizontally? | g(x)=f(x+h)^2 ; g(x)=f(x-h)^2 -> "h" moves a graph left or right. When +h, that means to move LEFT and when -h, that means to move the graph RIGHT |
What does it mean to be "reflected"? | Reflection means that a graph is flipped upside down, or, negative. |
How do I know if a graph is reflected? | The equation for a reflected graph will have a negative (-) sign in front of it. Example: f(x)=-IxI; this reflects the absolute value graph (V-shaped) downward. |