AnswersFL-1200330-Algebra 2 CRModeling with Exponential and Logarithmic Equations

Domain and Range Answers

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The velocity of a particle can be modeled by the function . Which graph accurately shows the velocity of the particle at any time, t?

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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

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Which equation describes how the parent function, , is vertically stretched by a factor of 4?

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y = x cubed + 4
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y = (x + 4) cubed
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y = 4 x cubed
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y = x Superscript 4
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4

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function?

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y = 2 Superscript x
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y = x squared
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y = StartAbsoluteValue x EndAbsoluteValue
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y = StartRoot x EndRoot
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How is the graph of the parent function transformed to produce the graph of ?

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It is translated 1 unit right and compressed vertically by a factor of 3.
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It is translated 1 unit left and compressed vertically by a factor of 3.
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It is translated 1 unit right and stretched vertically by a factor of 3.
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It is translated 1 unit left and stretched vertically by a factor of 3.
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Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

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To which family does the function belong?

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quadratic
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square root
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exponential
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reciprocal
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A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function transformed to create the graph of the function ?

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It is a vertical stretch with a factor of 100 and a translation 5 units right.
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It is a vertical stretch with a factor of 95.
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It is a vertical stretch with a factor of 100 and a translation 5 units down.
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It is a vertical stretch with a factor of 500.
9

The graph of is shown.Which is the graph of ?

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On a coordinate plane, a cubic root function is shown. It approaches x = negative 3 in quadrant 3, has an inflection point at (negative 1, negative 2), and then approaches y = 2 in quadrant 1. It crosses the y-axis at (0, negative 2).
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On a coordinate plane, a cubic root function is shown. It approaches x = negative 1 in quadrant 3, has an inflection point at (2, 1), and then increases and approaches y = 5.
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On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 4, increases, has a point of inflection at (2, 1), and then increases and approaches x = 4.
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On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 2, decreases, has a point of inflection at (negative 2, 1), and then decreases and approaches x = negative 4.
Option D
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Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

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Which graph is an example of a function whose parent function is ?

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The graph of the function is shown.Which graph represents the function ?

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Based on the family the graph below belongs to, which equation could represent the graph?

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The function models the cost per student of a field trip when x students go on the trip. How is the parent function transformed to create the function ?

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It is vertically stretched by a factor of 200.
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It is vertically stretched by a factor of 200 and shifted 10 units left.
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It is vertically stretched by a factor of 200 and shifted 10 units up.
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It is vertically stretched by a factor of 200 and shifted 10 units right.
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The graph of a quadratic function, , is reflected over the x-axis. Which of the following is the equation of the transformed graph?

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