Answers JPS-202526-Chatfield Summer School-Algebra I A-CR-M1-AlleyUnit Test

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Which is equivalent to ?

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

Option

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 + 5 − 9

g(x) = (1.6)x + 5 + 9

g(x) = (1.6)x − 9 + 5

g(x) = (1.6)x + 9 + 5

f(x) = g(x) = – 3

The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.

The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

The asymptote of g(x) is the asymptote of f(x) shifted three units up.

Which is the graph of g(x) = – 2?

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)

On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)

Which of the following best describes how the y values are changing over each interval?xy122438416532

They are increasing by 2 each time.

They are increasing by 4 each time.

They are being multiplied by 2 each time.

They are being multiplied by 4 each time.

What are the domain and range of f(x) = + 2?

domain: ; range: {y | y > 0}

domain: ; range: {y | y > 2}

domain: {x | x is a real number}; range: {y | y > 2}

domain: {x | x is a real number}; range: {y | y > –2}

Which is a shrink of an exponential growth function?

f(x) = (3)x

f(x) = 3(3)x

f(x) =

Which is equivalent to ?

RootIndex 4 StartRoot 16 EndRoot Superscript 3 x

RootIndex 4 x StartRoot 16 EndRoot cubed

RootIndex 3 StartRoot 16 EndRoot Superscript 4 x

RootIndex 3 x StartRoot 16 EndRoot Superscript 4

Which formula can be used to describe the sequence?

f(x) = −3

f(x) = (3)x − 1

f(x) = (−3)x − 1

Which function represents exponential decay?

f(x) =

f(x) = 4

Which is a stretch of an exponential growth function?

f(x) =

What is the rate of increase for the function f(x) = ?

One-third

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

Option

Which statements describe the domain and range of g(x)? Select two options.

The function g(x) is defined for all real numbers x.

The maximum value of the range is 4.

The maximum value of the domain is 3.

The range of g(x) is {y| –1 < y ≤ 4}.

The domain of g(x) is {x| –4 < x ≤ 3}.

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