| Question |
Answer |
| What is the definition of a function? |
A function is a rule that assigns each element x in a set A exactly one element, called f(x) in a set B |
| Four ways to represent a function? |
Visually, algebraically, verbally, numerically |
| What is the vertical line test? |
A curve in the xy plane in the graph of a function of x if and only if no vertical line intersects a curve twice |
| Symmetric over the y axis means |
f(-x)=f(x) |
| Symmetric over the x asix means |
f(-x)=f(x) |
| A function f is called increasing on an invertval I |
if f(x1)
|
| y=f(x)+c |
shift the graph up c units |
| y=f(X)-c |
shift the down down c units |
| y=f(x-c) |
shift the graph c to the right |
| y=f(x+c) |
shift the graph c to the left |
| y=cf(X) |
stretch the graph vertically by c |
| y=1/cf(x) |
compress the graph of y=f(x) vertically by c |
| y=f(cx) |
compress the graph horizontally by c |
| y=f(x/c) |
stretch the graph horizontally by 1/c |
| y=-f(x) |
reflect about the x-axis |
| y=f(-x) |
reflect about the y-axis |
| (f+g)(x)= |
f(x)+g(x) |
| (f-g)(x)= |
f(x)-g(x) |
| (fg)(x) |
f(x)g(x) |
mr. charles11
