Common Core Algebra II A

Which statement verifies that f(x) and g(x) are inverses of each other?

f(g(x)) = x and g(f(x)) = x

For what value of is the function one-to-one?

13

The tables for f(x) and g(x) are shown below. x f(x) -5 -11 -2 1 1 13 5 29 x g(x) -5 -7 -2 -1 1 5 5 13 What is the value of (f - g)(5)?

16

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x - 2. Which expression represents the profit, (k - h)(x), of producing soccer balls?

4x - 8

If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?

5(4) - 6 + 5(4) - 6

What are the domain and range of the function below?

C. domain:(-oo,oo) range:(-2,oo)

If g(x) and f(x) are inverse functions, which graph represents g(x)?

Option A

If the function has an inverse function, which statement must be true?

Option A

What values are excluded from the domain and range of the function ?

Option B

Which graph represents the same relation as the set ?

Option B

What is the domain of the relation graphed below?

Option C

Which relation below represents a one-to-one function?

Option D

If f(x) = x2 - 25 and g(x) = x - 5, what is the domain of ?

all real values of x except x = 5

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 , where x represents the length of the cable in meters. What are the domain and range of the function?

domain: all real numbers greater than or equal to 0range: all real numbers greater than or equal to 13,000

What are the domain and range of the function ?

domain: all real numbers range: all real numbers greater than 1