Algebra 1: Unit 1 Test

The function f(x) = 1/6 (2/5)x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

(-3, 4/375)

What is the initial value of the exponential function represented by the table?

1/2 (middle number)

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?

0.989

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month's total is 5% greater than the previous month's total. She writes a recursive formula to describe the account balances. Which value should she use as the common ratio?

1.05

What is the initial value of the exponential function shown on the graph?

2

What is the initial value of the exponential function shown on the graph?

4

Which exponential function is represented by the table?

f(x) = 0.5(0.2x)

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit formula can be used to model the same sequence?

f(x) = 3(4)x − 1

Which exponential function is represented by the graph?

f(x) =1/2(2)x

Which is a stretch of an exponential decay function?

f(x)=(5/4)(4/5)x

Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?

g(x) = -5(0.8)x

Which function represents g(x),a reflection of f(x)=1/2(3)x across the y-axis?

g(x) = 1/2(3)−x

Which function represents g(x), a reflection of f(x) = 6(1/3) x across the y-axis?

g(x) = 6(3)x

Which function represents g(x), a reflection of f(x) = 4(1/2)x across the x-axis?

g(x)=-4(1/2)x

What is the common ratio of the sequence? -2, 6, -18, 54,...

-3

Consider the exponential function f(x) = 3(1/3)x and its graph. Which statements are true for this function and graph? Select three options.

The growth value of the function is 1/3. The function shows exponential decay. The function is a stretch of the function f(x) = (1/3)x.

Which is the range of the function f(x) =1/7(9)x?

all real numbers greater than 0

Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

all real numbers less than or equal to 0

Which graph represents a function with an initial value of 1/2?

b (-1, 0.1) (0,0.5) (1,2.5)

Which graph is the sequence defined by the function f(x) = 3(2)x-1?

b (1,3), (2,6)...

Which graph represents a function with a growth factor of 5?

c (-1,0.04) (0,0.2) (1,1)

Which is the graph of the sequence defined by the function f(x + 1) = 2/3f(x) if the initial value of the sequence is 108?

c (0,108)(1, 72) (2,48)(3,32)

The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?

c (just negatives of f(x)

1.2, 3, 7.5, 18.75, ... Which formula can be used to describe the sequence?

f(x) = 1.2(2.5)x - 1

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

f(x) = 1/2(3)x