Unit Test Review: Linear and exponential Relationships

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?

(2, 18)

Which is the initial value that shrinks an exponential growth function by 50%?

1/2

The function f(x) = 8(1/4)x is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

Image A

Which is the graph of f(x) = 2(3)x?

Image A

Which is the graph of the sequence defined by the function f(x + 1) = 3/5 f(x) when the first term in the sequence is 375?

Image A

Which is the graph of f(x)=3/2(1/3)x?

Image B

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

Image B

Which is the graph of g(x) = (2/3)x - 2?

Image C

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

The domain contains only natural numbers.

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)?

The two functions have opposite output values of each other for any given input value.

Which function represents exponential decay?

f(x) = 4(2/3)x

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

f(x) = 5()-x f(x) = 5(5)x

Which formula can be used to describe the sequence? -3,3/5,-3/25,3/125,-3/625

f(x) = −3(-1/5)x-1

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

g(x) = (1.6)x − 9 + 5

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.)

y = 7595(1.02)x