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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They are inverses of each other, which means they share many related properties with one another.
What is the relationship between exponential and logarithmic functions? How does this relationship help us?
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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 and a logarithm with a base of e
What is a common log? What is a natural 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 coterminal if they have the same initial and terminal sides as each other.
What is the definition of a coterminal 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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