Algebra 1 - E2020 Unit Test

Isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

Which is equivalent to 216 ^1/3? (3,6,36, 0r 72)

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2. Which value can be used as the common ratio in an explicit formula that represents the sequence?

What is the domain of f(x) = 5^x -7?

Lena is asked to write an explicit formula for the graphed geometric sequence. What value, written as a decimal, should Lena use as the common ratio?

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

When 9^2/3 is write-in simplest radical form, which value remains under the radical? (3, 6, 9 or 27)

What is the simplified base for the function f(x) = 2(3√27(2x)? (2, 3, 9 or 18)

Which is equivalent to √10^3/4x?

The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown. What is the domain of g(x)?

Which graph represents exponential decay?

What is the range of f(x) = (3/4)^x - 4?

Which is the graph of f(x) = 1/4(4)^x?

Which value of "a" in the exponential function f(x) = a(1/3)^X would cause the function to stretch?

Which is equivalent to 80^1/4x?

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

Which formula can be used to describe the sequence -2/3, -4, -24, -144?

Which graph represents a geometric sequence?

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

Which function represents exponential decay?

The function f(x) = 5(1/5)x is reflected over the y-axis. Which equations represent the reflected function? Check all that apply.

The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)?

which function is a shrink of the exponential growth function shown on the graph?

Which exponential function is represented by the table? f(x) = 2(2^x); f(x) = 0.8(0.8^x) f(x) = 2(0.8^x) f(x) = 0.8(2^x)