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Calc Test 1
Calc Test 1 for 131
| 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)<f(x2) when x1<x2 |
| 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) |
Created by:
lilee256
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