Algebra 2B Unit 1 Exam
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Primavera - Online *
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2B
Subject
Mathematics
Date
Nov 24, 2024
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2
Uploaded by Bre6426
Examine the graph.
https://assets.learnosity.com/organisations/625/c650aec0-9e9d-4f17-8408-5a6a91f474bf.png
Select all true statements about the function.
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The initial value is 1.
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Domain: (−∞, ∞) range: (−1, ∞)
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As x approaches −∞, f(x) approaches ∞, and as x approaches ∞, f(x) approaches −1.
The general form of an exponential equation is y = ab^x + k. What is the general form of the following equation?
y - 3 = 4(5^2x+1)
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y = 20(25^x) + 3
Sketch the graph of the exponential function f(x) = 3^x - 3. Which graph is the correct representation of the
function?
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https://assets.learnosity.com/organisations/625/d6c6f4bb-421d-4e15-aa34-f28e5281d163.png
A rare baseball card that was purchased increases in value over time. the function C(t) is represented on the following
graph, where C represents the value of the card, and t is time in years since the card was purchased.
What is the initial value, and what does it represent?
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The initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
The function f(x) = 3 4^x + 5 is translated to become g(x) = 3 4^x - 2. What is the effect on f(x)?
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f(x) moves 7 units downward
Which graph shows f(x) = 2^x - 3 and its translation g(x) = f(x) + 7?
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https://assets.learnosity.com/organisations/625/a1570a35-80c9-40a1-8160-8e73169888c6.png
A function is translated from f(x) = 9 3^x - 2 to g(x) = 9 3^x+4 - 2. What is the effect on f(x)?
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f(x) moves 4 units to the left
The function f(x) = 2^x is dilated to become g(x) = 2^1/3x. What is the effect on f(x)?
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f(x) f(x) is stretched horizontally by a factor of 3
Which graph shows f(x) = 4^x - 4 and the dilation g(x) = 1/4(4^x - 4)?
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https://assets.learnosity.com/organisations/625/e20c0651-5bd4-4ecb-8873-2a1eb7aa2755.png
The graph shows a dilation of the preimage f(x) = 2^x + 3 to become g(x). What is the transformation rule and what
is the function rule of g(x)?
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g(x) = -2f(x)
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g(x) = -2 * 2^x - 6
Which option shows the correct steps to find the inverse of f(x) = 3√4-x - 2?
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f^-1(x) = 4 - (x + 2)^3
Given f(x) = 11^x, what is f^-1(x)?
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f^-1(x) = log_11 x
Which equation is equivalent to 3^r + 16 = q?
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r = log_3 (q - 16)
What is the exponential form of log_2 32 = 5?
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2^5 = 32
What is the value of log 1,000?
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3
What is the closest approximate value of log 0.2?
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-0.7
What is the value of log_5 125?
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3
What is the closest approximate value of log_6 95?
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2.5
What is the closest approximate value of ln(29)?
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3.4
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