Functions. Evaluating Functions Graphing Functions.
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Transcript of Functions. Evaluating Functions Graphing Functions.
Functions
Functions Evaluating Functions Graphing Functions
FunctionsEvaluating Functions
You can evaluate any function at any value using the key.
ExampleIf f(x) = 3x2 + 5x – 1, find f(–4)
ExampleIf f(x) = 3x2 + 5x – 1, find f(–4)
This means to evaluate the expression
3x2 + 5x – 1 when x has the value of –4
ExampleIf f(x) = 3x2 + 5x – 1, find f(–4)
This means to evaluate the expression
3x2 + 5x – 1 when x has the value of –4
Store –4 to x
ExampleIf f(x) = 3x2 + 5x – 1, find f(–4)
This means to evaluate the expression
3x2 + 5x – 1 when x has the value of –4
Store –4 to x
Enter the expression to be evaluated (exactly as shown)
ExampleIf f(x) = 3x2 + 5x – 1, find f(–4)
This means to evaluate the expression 3x2 + 5x – 1 when x has the value of –4
Store –4 to x
Enter the expression exactly as shown
Press
ExampleIf f(x) = 3x2 + 5x – 1, find f(-4)
The screen will look like:
Thus, f(-4) = 27
FunctionsGraphing Functions
You can graph any function of the form f(x) = by
letting y = f(x). Just remember y= and f(x)=
mean the same thing.
That is, when you are given a function f(x), enter
that in your calculator as Y=.
ExampleGraph the function f(x) = and label two
points on the graph.
32 x
ExampleGraph the function f(x) = and label two
points on the graph.
Consider y=
Enter the function as y=
(this gets absolute value)
32 x
32 x
ExampleGraph the function f(x) = and label two
points on the graph.
The screen will show:
The graph will look like this:
32 x
ExampleTo find two points on the graph, pressto find one and move the arrow key to findanother one (or look at the table)
The window will show:
This gives you one ordered pair (0,3),move cursor to find another one or press 2nd GRAPHsee a table of values.
ExampleGraph the function f(x) = -2x2 – 4x + 1
and label two points on the graph.
ExampleGraph the function f(x) = -2x2 – 4x + 1
and label two points on the graph.
Consider y = -2x2 – 4x + 1
Enter the function as y=
The window will show:
ExampleGraph the function f(x) = -2x2 – 4x + 1
and label two points on the graph.
The screen will show:
The graph will look like this:
ExampleTo find two points on the graph, pressto find one and move the arrow key to findanother one (or look at the table).
The window will show:
This gives you one ordered pair (0,1),move cursor to find another one or press 2nd GRAPHsee a table of values.