# Nature Of Functions-unit Test Review

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question
Let f(x)=4^x and g(x)=x+3. The graph of (f∘g)(x) is shown below. What is the range of (f∘g)(x)?
A. y > 0
question
What are the domain and range of the function f(x)=5^x-3+1?
C: domain: all real numbers range: all real numbers greater than 1
question
A cable company wants to provide cell phone service for residents on an island. The function for the cost of laying the cable from the island to the mainland is C(x)=6,500sqrtx^2+4, where x represents the length of the cable in feet. What are the domain and range of the function?
C: domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000
question
A customer deposits \$1,000 in an account in which the interest is compounded annually. The table below shows the balances in the account at the end of each year.
A. A=1000(1.08)^t
question
A customer deposits \$500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually?
D. \$562.43
question
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
B. Determine whether (-x)2 - (-x) + 8 is equivalent to x2 - x + 8.
question
If the function f(x) = mx + b has an inverse function, which statement must be true?
A. m≠0
question
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u∘v)(x)?
C. x≠2 and cannot be any value for which v(x)=0
question
For which pairs of functions is (f∘g)(x)=12x?
D. f(x) = 4x and g(x) = 3x
question
What values are excluded from the domain and range of the function f(x)=(x+3)/(2x+5)?
B. domain: x≠-5/2 range: y≠1/2
question
Ashley is a member of the Movie-a-Month Club, where she rents movies each month. She uses the table below to keep track of the number of movies she rents and the total cost, which includes her monthly membership fee. ... Ashley graphed the relationship in the table. What is the slope of the graph, and what does it represent?
A. The slope of the graph is 2.50, and it represents the cost of each movie.
question
Which function is the inverse of f(x) = -5x - 4?