Functions | Trigonometry | Graphing | Exponentials | Logarithms |
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What is y=f(x)
The correct notation for a function.
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What is the fourth quadrant.
In which quadrant is cosine positive and sine negative?
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What is the vertical line test shows if it is a function. The horizontal line test shows that is one to one.
What is the difference between the horizontal line test and the vertical line test?
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What is a number equivalent to 2.9 and the base for some exponential functions.
What is e?
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What is log base b of x equals y
What is b^y = x equivalent to?
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What is an equation starting with f(x) or y that usually results in a graph of some kind. It is also where there is only one input for every output.
Describe what a function looks like.
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What is sine is y and cosine is x.
What are the definitions of sine and cosine?
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exponentially increasing...the curve is going up rapidly in a positive direction so that the slope would be positive. Exponentially decreasing is the opposite.
Show me an example of an exponentially increasing graph and an exponentially decreasing graph.
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What is a^m x a^n = a^(m+n)
What is the product rule for exponents?
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What is a logarithm with a base of 10
What is a common log?
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What is a relation is a set of ordered pairs and a function is read, y is a function of x and usually creates a graph.
Give me an explanation of each a relation and a function.
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What is arc length/ radius
What is the formula for radians given a section of a circle?
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What is it is reflected over the x axis.
What happens to the graph of b^x if you make x negative?
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What is (a^m)/(b^m) where b is nonzero
How would you rewrite a^(m/n)
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What is (0, infinity)
What is the Domain for log x?
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What is where the denominator equals zero or there is a negative under the square root.
What should you look for when solving for the domain and range?
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What is when the angle has a terminal side on an axis such as 90 degrees or 2pi.
What is a quadrantal angle?
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What is, it starts in the forth quadrant and exponentially increases until it levels out past the x axis.
What does the graph of ln x look like?
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What is f(x)=ab^x where a is the nonzero number called the initial value and b is any positive number except for 1.
What is the definition of an exponential function?
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What is log base b (m x n) = log base b (m) + log base b(n)
What is the product rule for logs?
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What is it means that the function h is comprised of 2 other functions that are a composition such as f(g(x)) or vice versa.
What does it mean to write a function h as a composition of two function?
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What is Two angles are co terminal id they have the same initial and terminal sides as each other.
What is the definition of a co terminal angle?
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What is Cosine.
When looking at the point (0,1) on a graph, which trigonometric function (sine or cosine) crosses through this point?
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What is a is the initial value of the function, b is the growth factor and b-1 is the growth rate.
For exponential growth, with the form F(x)=ab^x , what do a, b, and b-1 represent?
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What is itself. there is no rule for addition.
What does log (m + n) equal?
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