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AP CALCULUS Review-2: Functions and their Graphs
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Functions Def: A function is a special type of relation. y is a function of x if for each x-value there is only one y- value. The graph of a function passes the vertical line test. This is written Domain: the set of all x-values Range: the set of all y-values Notation:
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Functions One-to-one Function: a function in which not only is there only one y for each x, but there is also only one x for each y. The graph passes the horizontal line test as well as the vertical line test.
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Find the domain and range 1.
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Find the domain and range 2.
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Functions are commonly represented 4 ways Verbally: by a sentence that describes the relationship between variables Numerically: by a table or list of ordered pairs Graphically: by points on a coordinate plane Analytically: by an equation in two variables
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Find x-intercepts and the y-intercepts 3.
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Piecewise Functions Piecewise Function: a function defined differently on different pieces of its domain. Example:
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Piecewise Functions 4. Find the domain and range for
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Parent Graphs a) Constant function b) Cubic Function
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Graph 5. what is the transformation?
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Behavior of a graph If a graph is continuous it has No breaks, holes or asymptotes
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Leading coefficient Test In the polynomial function Where the a, b, and c values are coefficients and a is the leading coefficient If a is not zero then n is the degree of the polynomial
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End Behavior is determined by the degree a.Even degree b.Odd degree c.Notation for end behavior
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6. Is the polynomial even or odd?
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7. Graph and Describe the end behavior of the graph
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8) Graph and describe the end behavior
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9. Find the discontinuity, then graph
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Additional exercises Review Assignment 2 Problems # 10-14
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