5.1.1 Identifying Linear Functions − Worksheet
Example 1:
Identify whether each graph represents a function. Explain. If the graph does represent a function, is the function linear?
1.
2.
3.
y
y
4
4
2
2
x
x
0
–4 –2
2
4
0
–4 –2
2
4
–2
–2
–4
–4
Example 2:
Tell whether the given ordered pairs satisfy a linear function. Explain
4.
5.
x y
x y
5 4 3 2 1 0 2 4 6 8
1 4 9 16 25 1 2 3 4 5
6. {(0, 5), ( − 2, 3), ( − 4, 1), ( − 6, − 1), ( − 8, − 3)}
7. {(2, − 2), ( − 1, 0), ( − 4, 1), ( − 7, 3), ( − 10, 6)}
Example 3:
Tell whether each function is linear. If so, graph the function.
x
= x y 5 3
3
2
8. 2 x + 3 y = 5
9. 2 y = 8
10.
11.
+
y
=
5
Example 4:
12. A train travels at a constant speed of 75 mi/h. The function f ( x ) = 75 x gives the distance that the train travels in x hours. Graph this function and give its domain and range.
13. A movie rental store charges a $6.00 membership fee plus $2.50 for each movie rented. The function f ( x ) = 250 x + 6 gives the cost of renting x movies. Graph this function and give its domain and range.
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