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 _____