# 6. 1. a) b) ```Lesson 1.2 Extra Practice
STUDENT BOOK PAGES 14–24
1. Evaluate f (⫺3 ) , f (2) , and f ( 2.5 ) for
a) f (x) ⫽ x 2 ⫹ 2x ⫹ 1
b) f (x) ⫽ 2x 2 ⫺ 5x ⫺ 3
c) f (x ) ⫽ (x ⫹ 1 ) 2 ⫺ 5
d) f (x) ⫽ ⫺2 (x ⫺ 3 ) 2 ⫹ 4
2. For f (x) ⫽ 3x ⫺ 2, determine
a) f (⫺2 )
b) f (0)
c) f (⫺4 ) ⫹ f (⫺5 )
5
2
d) f a b ⫺ f a b
3
3
3. The graph of y ⫽ f (x) is shown below.
y
4
3
2
1
Copyright &copy; 2008 by Thomson Nelson
–4 –3 –2 –1 0
–1
–2
–3
–4
x
1
2 3 4 5
a) State the domain and range of f.
b) Evaluate.
i) f (⫺2 )
ii) f (5)
iii) f (5 ⫺ 2 )
iv) f (5) ⫺ f ( 2 )
4. For g(x) ⫽ ⫺3x ⫹ 5, determine
a) g(a)
b) g(⫺b ⫹ 2 )
c) g(4c ⫺ 3 )
d) g(6 ⫺ 4d)
5. Consider the function f (s) ⫽ 4s ⫺ 3.
a) Create a table of values and graph the function.
b) Determine each value.
i) f (⫺2 )
ii) f (5)
iii) f (3) ⫺ f (⫺4 )
iv) f (v) ⫹ f (6 ⫺ v)
1
6. The graph below shows f (x) ⫽ ⫺ (x ⫺ 1)2 ⫹ 4.
2
y
8
6
(1, 4)
4
2
–4 –3 –2 –1 0
–2
–4
–6
–8
1
x
2 3 4 5 6
a) Evaluate f (⫺3) .
b) What does f (⫺3) represent on the graph of f ?
c) State the domain and range of the relation.
d) How do you know that f is a function from its
graph?
7. For f (x) ⫽ 3x ⫺ 4, determine the input x when the
output of f (x) is
a) 2
b) 11
c) ⫺10
5
d) ⫺
2
8. a) Graph the function f (x) ⫽ 2(x ⫹ 1 )2 ⫺ 5.
b) What does f (2) represent on the graph? Indicate
on the graph how you would find f (2) .
c) Use the function to determine
i) f (3) ⫺ f (0)
ii) f (1) ⫹ f (4)
iii) 2f (5) ⫺ 2
iv) f (x ⫺ 2)
9. Let f (x) ⫽ x 2 ⫺ 3x ⫺ 10. Determine the values of
x for which
a) f (x) ⫽ 0
b) f (x) ⫽ ⫺10
c) f (x) ⫽ ⫺12
d) f (x) ⫽ 18
Lesson 1.2 Extra Practice
371
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