Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Domain and Range Answers

0 verified answers1 views

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

On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = negative 4 in quadrant 3, has a point of inflection at (negative 2.5, negative 2), and then increases into quadrant 2 and approaches x = negative 1.

On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, negative 2), and then increases into quadrant 1 and approaches x = 4.

On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, 2), and then decreases into quadrant 4 and approaches x = 5.

On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function starts in quadrant 4 and increases into quadrant 1. It has a point of inflection at (8, 2) and then it continue to increase in quadrant 1.

Free Preview

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

y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2

y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2

y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3

y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

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

y = x cubed + 4

y = (x + 4) cubed

y = 4 x cubed

y = x Superscript 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?

y = 2 Superscript x

y = x squared

y = StartAbsoluteValue x EndAbsoluteValue

y = StartRoot x EndRoot

How is the graph of the parent function transformed to produce the graph of ?

It is translated 1 unit right and compressed vertically by a factor of 3.

It is translated 1 unit left and compressed vertically by a factor of 3.

It is translated 1 unit right and stretched vertically by a factor of 3.

It is translated 1 unit left and stretched vertically by a factor of 3.

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

y = StartRoot x + 2 EndRoot

y = StartRoot x EndRoot + 2

y = StartRoot x EndRoot minus 2

y = StartRoot x minus 2 EndRoot

To which family does the function belong?

quadratic

square root

exponential

reciprocal

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 ?

It is a vertical stretch with a factor of 100 and a translation 5 units right.

It is a vertical stretch with a factor of 95.

It is a vertical stretch with a factor of 100 and a translation 5 units down.

It is a vertical stretch with a factor of 500.

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

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).

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.

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.

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.

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

y = log x + 5

y = log x minus 5

y = log (x + 5)

y = log (x minus 5)

Did you find these answers helpful?

Domain and Range Answers

More from this Course

TRY EDGENUITY HACKS