Unit Test Answers

Which is the graph of f(x) = (4)x?

The table represents an exponential function.

Which table represents exponential growth?

What are the domain, range, and asymptote of h(x) = 6x – 4?

The first three terms of a geometric sequence are shown below.What is the eighth term of the sequence?

Within the set of whole numbers, one set of numbers satisfies the recursive formula , when . What are the first two terms of the sequence?

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

For what value of n does ?

What are the first three terms of a geometric sequence in which and the common ratio is 5?

For what value of n does ?

The formula for determining the frequency, f, of a note on a piano is , where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C?

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

The population, p, of a town after t years is represented using the equation . Which of the following is an equivalent expression?

If , which recursive formula could represent the sequence below?..., 24, 88, 664, 8408, ...

If , what is the value of s?

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

Which is the graph of ?

Which is an equivalent form of the expression 1800(1.2)–t?

For what value of x does ?

What is the range of f(x) = – 4?

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

Which table shows exponential decay?

Which of the following is an arithmetic sequence?