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Mathematics
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Mathematical Analysis
Exam 3: Functions and Graphs
Path 4
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Question 1
Essay
If f(x)=
and g(x)= x + 1,find: (a)f(g(x))and (b)g(f(x)).
Question 2
Short Answer
If f(p,q)= 3
- 2q+ p,find f(-1,2).
Question 3
Multiple Choice
If f(x) =
+ x,then f(-2) =
Question 4
Essay
Sketch a graph of f(x)=
+ 7
Question 5
Essay
Sketch a graph of f(x)= |x| + 4
Question 6
Essay
Julie lives 32 miles from the city.She drove home from the city at a constant rate of 60 mph along the highway.At the exit 2 miles from her home,she realized she had left her purse at the department store.She immediately returned to the department store at a rate of 60 mph.Graph the absolute-value function to represent Julie's distance from home as she drove home from the city over the appropriate domain.
Question 7
Essay
Suppose the weekly supply function for a large pizza at a local pizza parlor is p =
. (a)How many large pizzas will be supplied if the price is $12.50 per pizza? (b)How many large pizzas will be supplied if the price is $18.75 per pizza? (c)How does the amount supplied change as the price increases?
Question 8
Multiple Choice
The domain of f(q) =
is
Question 9
Essay
In June Gail decided to save $20.00 a week.She saved for 14 weeks and then for 14 weeks she spent $20.00 a week on gifts.Write an absolute-value function to represent the amount of money Gail had in savings.
Question 10
Essay
Find the domain of the function: f(q)=