STARTER TUE, OCT 14, 2014

Find the following using the function f(x) = x2 + 4x – 5

a. Vertex

b. Axis of Symmetry

c. Y-Intercept

d. X-Intercepts

e. Sketch a Graph

f. Intervals of Inc/Dec

g. Intervals of Pos/Neg

h. End Behavior

You should be able to do this both algebraically and by using technology!

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2.2.2: Identifying the Domain of a Quadratic Function

WORDS TO KNOW

DOMAIN: The domain of a function is all input values (x-values) that satisfy the function without restriction.

RANGE: The range of a function is all the output values (y-values) that satisfy the function without restriction.

AVERAGE RATE OF CHANGE: The average rate of change of a function is the rate of change between any two points of a function. It is a measure of how a quantity changes over some interval, which is a SLOPE.

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2.2.2: Identifying the Domain of a Quadratic Function

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2.2.2: Identifying the Domain of a Quadratic Function

Domain and Range of a Quadratic Function(Parabola)

Domain: All Reals or (-, Domain: All Reals or (-, Range: All Reals or [0, Range: All Reals or (-, 0)

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2.2.2: Identifying the Domain of a Quadratic Function

Domain and Range of a Quadratic Function(Parabola)

Domain: All Reals or (-, Domain: All Reals or (-, Range: All Reals or [2, Range: All Reals or (-, 1)

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2.2.2: Identifying the Domain of a Quadratic Function

Domain and Range of a Quadratic FunctionIn a Problem Situation

Domain: 0<x<2.5 or [0, 2.5]

Domain: Range: Range: 0<y<2 or [0, 2]

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2.2.2: Identifying the Domain of a Quadratic Function

y2 – y1

x2 – x1

The Average Rate of Change is a SLOPE: Slope = m = ________

Find the average rate of change

fIx) = 5x2 – 3x + 2, x1 = 2 and x2 = 4 f(x) = -0.03x2 + 5x – 4, x1 = 0 and x2 = 0.5

The Average Rate of Change

(2, 16)(4, 70)

Plug the x-value in to find the y-value.

You now have 2 points, find the slope!

𝑚=70−164−2

=542

Average Rate of Change = 27

Plug the x-value in to find the y-value.

You now have 2 points, find the slope!

Average Rate of Change = 5

(0, -4)(.5, -1.5)

𝑚=−1.5−(−4).5−0

=2.5.5

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2.2.2: Identifying the Domain of a Quadratic Function

Instead of a function and function values you

can also be given a graph and asked to find

the average rate of change between two

points

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2.2.2: Identifying the Domain of a Quadratic Function

You can also be given a table of values and asked to find the

average rate of change.A table of values is just

a set of points!