Graphing functions | Function compositions | Even/odd functions & intervals of increase/decrease | Factoring & solving | Operations on rational expressions |
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The graph of f(x)=ln(x)+3 is shifted above 3 units
What is the difference between the graphs of f(x)=ln(x) and f(x)=ln(x)+3?
|
6
f(x) = 2x
g(x) = x+3 Find f(g(0)) |
Name an odd function.
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(x+3)(x+2)
Factor g(x)=x²+5x+6
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x/2
x≠0
Reduce the rational expression.
2x²/4x |
x
Describe the transformation done to f(x)=-
|
2(x+3)
OR 2x+6
f(x) = 2x
g(x) = x+3 Find f(g(x)) |
Even
Is f(x)=x² even/odd/neither?
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x=5. -5
Find the x-intercepts of f(x) = 25 - x²
|
4x+13/2x-4
Add the following rational expressions.
(3/x-2) + (4x+7/2x-4) |
All x-values excluding 0
OR (-∞, 0) U (0, ∞)
What is the domain of f(x)=1/x?
|
2
f(x) = cos(x)
g(x) = x+1 Find g(f(0)) (Use the graph of cos(x)/your calculator) |
(0,∞)
On which intervals is f(x)=1/x decreasing on?
|
x=-3/2, -2
Solve for x in 0 = 2x²+7x+6
|
-10/x-3
Multiply the following rational expressions.
(5/x-3) * (-4x+8/2x-4) |