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48 Cards in this Set
- Front
- Back
Relation |
a set of ordered pairs |
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Function |
A relation where each x has only one y. - passes the vertical line test - x's don't repeat |
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Domain |
The first element (x's) or independent variable - how wide the graph gets (use only 'x' numbers) |
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Range |
The second element (y or f(x)) or dependent variables - how high or low the graph gets (use only 'y' numbers) |
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One-to-One Function |
Every element of the range (y) of the function corresponds to exactly one element of the domain (x). - Passes the vertical and horizontal line test. - neither x's nor y's can repeat |
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What is the domain?
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What is the domain? |
x > 3 |
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What is the domain? |
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15 |
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Find h(0) - h(2) |
-2 |
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Find x if h(x) = 3 |
0 |
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Find x if h(x) = 2 |
-1 |
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Is this a function? |
no - anything with y squared can't be a function |
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Is this a function? |
yes |
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Is this a function? |
yes |
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Is this a function? |
yes |
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Is this function onto? |
no |
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Is this function onto? |
yes |
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Is this function onto? |
no |
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Is this relation a function? |
yes |
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State the domain |
(-3,2] |
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State the range |
-1,1 |
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is a function if f(x) is what ? |
One to One |
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State the domain |
[0,infinity) |
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Is this a function? |
No |
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State the range |
|
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Is the inverse a function? |
Yes (It is One to one) |
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Is this relation onto? |
Yes |
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Given the relation: {(2,1),(2,2),(2,3),(2,4)} Is it a function? |
No |
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Given the relation: {(2,1),(2,2),(2,3),(2,4)} State the domain |
2 |
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Given the relation: {(2,1),(2,2),(2,3),(2,4)} State the range. |
{1,2,3,4} |
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Given the relation: {(2,1),(2,2),(2,3),(2,4)} State the inverse. |
{(1,2),(2,2),(3,2),(4,2)} |
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Given the relation: {(2,1),(2,2),(2,3),(2,4)} Is the inverse a function? |
yes |
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What is f(-2) |
18 |
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Find f(g(-3)) |
18 |
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Find g(f(x)) |
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x |
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2 |
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The graph of any function and its inverse are symmetric with respect to _______________ |
The line y = x |
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To find the inverse of a function simply__________ |
Switch the x and the y |
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f(x) is the parent function What would f(x) + 2 do to the function? |
Move it up 2 |
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f(x) is the parent function What would f(x) - 4 do to the function? |
Move it down 4 |
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f(x) is the parent function What would f(x-4) do to the function? |
Move it to the right 4 |
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f(x) is the parent function What would f(x + 5) do to the function? |
Move it to the left 5 |
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f(x) is the parent function What would -f(x) do to the function? |
Reflect it through the x-axis |
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f(x) is the parent function What would f(-x) do to the function? |
Reflect it through the y-axis |
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Given the parent graph: f(x) = |x| What is the transformation that created g(x) = |x + 2| - 3? |
Moved down 3 and to the left 2. |
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Onto |
The range is all real numbers. |