Calculus - P.1 Graphs and Models Flashcards Preview

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Flashcards in Calculus - P.1 Graphs and Models Deck (9)
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Point-Plotting

A. Table or T-chart to generate solution points or use transformation of parent graph
B. Plot points
C. Connect points with smooth curve

1

Intercepts

Where the graph crosses the x-axis or y-axis

2

X-intercepts

X-int: (a,0)
Let y=0 and solve for x


3

Y-intercepts

Y-int: (0,b)
Let x=0, solve for y

4

Y-axis symmetry

Any point, (a,b), on the graph will have a matching point (-a,b) on the graph.
Test => f(-x)=f(x)

5

X-axis symmetry

If a point (a,b) is on the graph, then the point (a,-b) is also on the graph
Test => f(x)=_+f(x)
For each value of x, there are 2 values of y
Change y to -y will not change the function y=-y or f(x)=-f(x)

6

Symmetric about the origin

If the point (a,b) is on the graph, (-a,-b) will also be on the graph
Test =>
f(-x)=-f(x)
f(-x)=-y

7

Points of intersection between two graphs

1. Set one = to the other and solve. Plug answer into first equation to get both x and y => (x,y)

2. Solve as a System of equation => By substitution

3. Graph is indicated

Note: In some cases you may also solve by elimination

8

Use calculator two find points of intersection between two graphs

1. Place functions in any, and y2

2. Calc(2nd Trace) => Intersect #5

3. Enter, enter, enter => write down the point
Trace the next point and repeat if necessary