2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

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2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

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2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.

Presentation transcript:

2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele

Vertical Line Test A set of points in the xy -plane is the graph of a function if and only if a vertical line intersects the graph in at most one point.

A Function’s Graph Find the following information about the function: 1) Is the point (-1,1) on the graph? What about (1,3)? 2) If x = 3, what is f (x) ? What is the point on the graph of f ?

A Function’s Graph Find the following information about the function: 3) If, what is x ? What is/are the point(s) on the graph of f ? 4) What is the domain of f ?

A Function’s Graph Find the following information about the function: 5) Find any x -intercepts and y -intercepts of f ?

Graphs of a Function Given the graph, find the following: 1) 2) 3)

Graphs of a Function Given the graph, find the following: 4) What is the domain of f ? 5) What is the range of f ?

Graphs of a Function Given the graph, find the following: 6) List the intercepts of f.

Graphs of a Function Given the graph, find the following: 7) How often does the line y = 1 intersect the graph?

Graphs of a Function Given the graph, find the following: 8) For what values of x does f (x) = 6 ? 9) For what values of x is f (x) > 0 ?

Symmetry

If the graph is a function, find any symmetry:

2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele Homework: p. 76 #9-25 odd