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21 Cards in this Set
- Front
- Back
What is:
{2,3,4,5}U{2,4,6,8}? |
Answer: {2,4}
Union means that the numbers (or points) in the resulting set must be in both initial sets. |
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What is:
{2,3,4,5}∩{2,4,6,8}? |
Answer: {2,3,4,5,6,8}
Intersection contains every number (or point) that exists in both initial sets. |
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y = 5x + 8
Find the slope and intercept. |
Answer: Intercept (y) = 8. Slope = 5/1.
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Factor:
2^4 + 36 |
Answer: (2^2 + 6)(2^2 - 6)
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Factor:
x^2 + 5x + 6 |
Answer: (x + 2)(x + 3)
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Tricky:
You have a parabola, and you need to factor out the x coordinates from... x^2 + 5x + 10 |
Step 1: x^2 + 5x + 6 + 4
Step 2: (x+2)(x+3) + 4 Note: Now you have your 2 x-coordinates and your y-coordinate. |
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Simplify:
-12h > -6xh |
Answer: 2 < x
Divide both sides by -6h and reverse the sign because you have divided by a negative number. |
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What kind of graph, and what direction is it going?
y = -x^2 + 3x + 8 |
Parabola that opens downward.
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What kind of graph, and what direction is it going?
x = -y^2 + 3y + 8 |
Parabola that opens to the left.
Not a function. |
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What kind of graph, and what direction is it going?
y = (x-4)^ + 8 |
Parabola that opens upward.
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Which arithmetic of functions has a catch?
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Division.
You need to find the domain of function in the denominator before simplifying or the correct domain will most likely be masked or altered. |
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Is a mountain concave up or concave down?
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Concave down, because it is opening downwards from the top point.
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Is a puddle concave up or concave down?
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Concave up, because it is opening upwards from the bottom point.
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What is happening to this function?
f(x + k) |
Shift left k spaces.
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What is happening to this function?
f(x) + k |
Shift up k spaces.
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What is happening to this function?
-f(x - k) |
Shift right k spaces.
Then the entire graph is inverted because of the negative. |
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What is happening to this function?
f(x) - k |
Shift down k spaces.
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What is happening to this function?
(1/2)*f(x) |
all y values are halved.
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What is happening to this function?
f( (1/2)*x ) |
all x values are doubled.
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What is happening to this function?
-f(2x) |
all x values are halved.
Then the entire graph is inverted because of the negative. |
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What is happening to this function?
2f(x) |
All y values are doubled.
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