Name __________________________ Date ____________ Algebra I

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Name __________________________

Algebra I

Domain and Range

Date ____________

Today:

We will learn how to determine range when given the domain of a function.

We will be able to determine the x and y-intercepts from both a table and graph.

Warm Up:

1) (4, 2) (-1, 0) (3, 5) (2, 2) (-4, -5) Graph

Domain __________

Range __________

Function? _______

Mapping Diagram

Domain, Range and Intercepts From Graphs and Tables

X – intercept – the coordinate(s) where the graph crosses the _____ axis.

Y – intercept – the coordinate where the graph crosses the _____ axis.

X – intercept(s) __________

Y – intercept __________

x

Graph the function y = 2x + 2 and y = x 2 - 4 with domain –2, -1, 0, 1 and 2. Identify the range of the function. x y = 2x + 2 y y = x 2 - 4 y

Function notation – A way to name a function using the symbol ______ instead of y.

Evaluating Functions f(x) = 2x – 3 g(x) = x 2 + 5

1) h(5) 2) f(-1)

Y-intercept is the same as evaluating __________.

Find the y - intercept

5) g(0) 4) f(0)

Y-intercept _____ Y-intercept _____

  

2 x

    x

2 x

8

  x

–3

–1

0

2

 

-6

-2

0

4

3 6

X – intercept _____

Y – intercept _____

-4

–2

0

2

4

16

12

8

4

0

X – intercept _____

Y – intercept _____ h(x) = x

8

3) g(-3)

6) h(0)

Y-intercept _____

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