IM 3 Summer Practice Final

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56 questions

Unit 1

Unit 2: Key Features of Functions

Unit 3: Linear Functions

Unit 4: Factoring Quadratics and Finding zeros

Draggable item		Corresponding Item
		Polynomial Functions
		Square Root Functions
		Exponential Functions
		Cube Root Functions
		Piecewise Functions
		Rational Functions( bow tie)
		Logarithmic Functions

Draggable item		Corresponding Item
		Absolute Value Functions
		Square Root Functions
		Exponential Functions
		Cube Root Functions
		Quadratic Functions
		Cubic Functions
		Logarithmic Functions
		Rational Functions (bow tie)

IM 3 Summer Practice Final

IM 3 Summer Practice Final

Match the Graph of the function with the correct function family.

Match the function with the correct function family.

Which function could represent the given graph?

Which function could represent the given graph?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which equation best represents the graph shown below?

Which equation best represents the graph shown below?

A certain graph is shifted 4 units right and 3 units up from its Parent function. Which of the following could be the function? Identify ALL that apply (there is more than 1 correct answer).

Identify ALL functions below that would be translated downwards from their Parent functions (there is more than 1 correct answer).

Which of the following graphs are negative within the interval of (-5, -2)?

Which of the following could be that of the graph below?

Which of the following could be the graph below?

Which of the following denotes the equation of the transformed function if f(x)=x^3 is translated

5 units left
reflected about the x-axis (flipped)
has a vertical stretch of 1/2
3 units up

Sketch then answer the question. Which transformation BEST describes the translation FROM f(x)=3|x-2|-1 TO g(x)=3|x+3+|+5

The number of video games sold by a game-designed can be modeled by the function, G(t), selected values of which are given in the table below. Find the Average Rate of Change of G(t) over the interval [3, 12]. State units. Show work.
Calculator Permitted.

The weight of an egg of a certain species of snake, W in ounces, is modeled by the function
where a is the age of the egg in months. Find the average rate of the weight of an egg, W, over a = 0 months to a =12 months. Specify units.

Sketch
Which of the following is true about f(x) ?
I. The domain is (-\infty, \infty )?
II. The range is (-\infty, -2)?
III. There is a Relative Minimum of -2 at x=3

Which of the following graphs show a function whose range is (-\infty, 3]? Choose all that apply

Which of the following graphs show a function whose domain is (-\infty, \infty)?

If f(x)=2x^{2}-3x+5, find the value of f(3).
Make sure to show your work for full credit.

Use the graph of f(x) and g(x) below.

Solve: f(x)=g(x).
Pay close attention to the scale of the graph.

State the intervals of x over which f(x)\le g(x).

The graph of a function, f(x), is shown below. Which of the following statements is FALSE?

What are the intervals for which the function below is Decreasing?

What are the intervals for which the function below is Increasing?

Use the function below to solve f(x)>0

Find the Maximum or the Minimum value of

Graph
Which of the following is the Domain and Range of f(x)?

If f(x)=2x^{2}-3x+1 and g(x) =x+1 find f(g(x))

Solve f(x)>g(x) with f(x) being the line and g(x) being the parabola

If f(x) and g(x) are shown below, find the value of f(g(6))

If f(x)=2x^{2}-x+5 and g(x)=3x-5 find f(g(2))

For the piecewise function

Find the value of f(5)

IM 3 Summer Practice Final

IM 3 Summer Practice Final

Match the Graph of the function with the correct function family.

Match the function with the correct function family.

Which function could represent the given graph?

Which function could represent the given graph?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which of the following statements is true when comparing the graph of the function below with its parent function?

Which equation best represents the graph shown below?

Which equation best represents the graph shown below?

A certain graph is shifted 4 units right and 3 units up from its Parent function. Which of the following could be the function? Identify ALL that apply (there is more than 1 correct answer).

Identify ALL functions below that would be translated downwards from their Parent functions (there is more than 1 correct answer).

Which of the following graphs are negative within the interval of (-5, -2)?

Which of the following could be that of the graph below?

Which of the following could be the graph below?

Which of the following denotes the equation of the transformed function if f(x)=x^3 is translated5 units leftreflected about the x-axis (flipped)has a vertical stretch of 1/23 units up

Sketch then answer the question. Which transformation BEST describes the translation FROM f(x)=3|x-2|-1 TO g(x)=3|x+3+|+5

The number of video games sold by a game-designed can be modeled by the function, G(t), selected values of which are given in the table below. Find the Average Rate of Change of G(t) over the interval [3, 12]. State units. Show work.Calculator Permitted.

The weight of an egg of a certain species of snake, W in ounces, is modeled by the function where a is the age of the egg in months. Find the average rate of the weight of an egg, W, over a = 0 months to a =12 months. Specify units.

Sketch Which of the following is true about f(x) ?I. The domain is (-\infty, \infty )?II. The range is (-\infty, -2)?III. There is a Relative Minimum of -2 at x=3

Which of the following graphs show a function whose range is (-\infty, 3]? Choose all that apply

Which of the following graphs show a function whose domain is (-\infty, \infty)?

If f(x)=2x^{2}-3x+5, find the value of f(3). Make sure to show your work for full credit.

Use the graph of f(x) and g(x) below.Solve: f(x)=g(x).Pay close attention to the scale of the graph.

State the intervals of x over which f(x)\le g(x).

The graph of a function, f(x), is shown below. Which of the following statements is FALSE?

What are the intervals for which the function below is Decreasing?

What are the intervals for which the function below is Increasing?

Use the function below to solve f(x)>0

Find the Maximum or the Minimum value of

Graph Which of the following is the Domain and Range of f(x)?

If f(x)=2x^{2}-3x+1 and g(x) =x+1 find f(g(x))

Solve f(x)>g(x) with f(x) being the line and g(x) being the parabola

If f(x) and g(x) are shown below, find the value of f(g(6))

If f(x)=2x^{2}-x+5 and g(x)=3x-5 find f(g(2))

For the piecewise function Find the value of f(5)

Which of the following denotes the equation of the transformed function if f(x)=x^3 is translated

5 units left
reflected about the x-axis (flipped)
has a vertical stretch of 1/2
3 units up

The number of video games sold by a game-designed can be modeled by the function, G(t), selected values of which are given in the table below. Find the Average Rate of Change of G(t) over the interval [3, 12]. State units. Show work.
Calculator Permitted.

The weight of an egg of a certain species of snake, W in ounces, is modeled by the function
where a is the age of the egg in months. Find the average rate of the weight of an egg, W, over a = 0 months to a =12 months. Specify units.

Sketch
Which of the following is true about f(x) ?
I. The domain is (-\infty, \infty )?
II. The range is (-\infty, -2)?
III. There is a Relative Minimum of -2 at x=3

If f(x)=2x^{2}-3x+5, find the value of f(3).
Make sure to show your work for full credit.

Use the graph of f(x) and g(x) below.

Solve: f(x)=g(x).
Pay close attention to the scale of the graph.

Graph
Which of the following is the Domain and Range of f(x)?

For the piecewise function

Find the value of f(5)