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)?

answer

A. y > 0

question

What are the domain and range of the function f(x)=5^x-3+1?

answer

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?

answer

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.

answer

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?

answer

D. $562.43

question

Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?

answer

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?

answer

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)?

answer

C. x≠2 and cannot be any value for which v(x)=0

question

For which pairs of functions is (f∘g)(x)=12x?

answer

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)?

answer

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?

answer

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?

answer

A. f^-1(x)=-1/5x-4/5

question

If f(x)=3x^2 and g(x)=4x^3+1, what is the degree of (f∘g)(x)?

answer

D. 6

question

The graph of y=sqrtx is transformed as shown in the graph below. Which equation represents the transformed function?

answer

A. y=-sqrtx+2

question

Which of the following is an odd function?

answer

D. g(x) = 4x