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Laabri

IM 3 Summer Practice Final

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Last updated 20 days ago
56 Nsɛmmisa
Unit 1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
Unit 2: Key Features of Functions
2
2
1
2
2
2
2
5
5
5
5
1
1
1
1
1
1
1
1
1
1
1
Unit 3: Linear Functions
5
5
5
5
5
Unit 4: Factoring Quadratics and Finding zeros
2
2
2
2
2
2
2
2
2
2
2
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Draggable itemarrow_right_altCorresponding Item

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Polynomial Functions

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Square Root Functions

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Exponential Functions

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Cube Root Functions

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Piecewise Functions

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Rational Functions( bow tie)

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Logarithmic Functions

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Match the function with the correct function family.

Draggable itemarrow_right_altCorresponding Item

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Absolute Value Functions

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Square Root Functions

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Exponential Functions

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Cube Root Functions

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Quadratic Functions

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Cubic Functions

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Logarithmic Functions

arrow_right_alt

Rational Functions (bow tie)

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Which function could represent the given graph?

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4.

Which function could represent the given graph?

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5.

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

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6.

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

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7.

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

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8.

Which equation best represents the graph shown below?

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9.

Which equation best represents the graph shown below?

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10.

Describe the translation of the function below. Then sketch a graph of the function in the Show Your Work section.

Horizontal Shift =

Vertical Shift =

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Describe the translation of the function below. Then sketch a graph of the function in the Show Your Work section.

Horizontal Shift =

Vertical Shift =

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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).

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13.

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

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14.

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

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15.

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

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16.

Which of the following could be the graph below?

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17.

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

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18.

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

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19.

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.

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20.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

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22.

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

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23.

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

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24.

Identify the coordinate points of the following key features of the function represented by the graph below.

Local Min =

Local Max =

x-intercept(s) =

y-intercept =

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25.

Identify the coordinate points of the following key features of the function represented by the graph below.

Vertex =

x-intercept(s) =

y-intercept =

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26.

If f(x)=2x^{2}-3x+5, find the value of f(3).

Make sure to show your work for full credit.

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27.

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

Solve: f(x)=g(x).

Pay close attention to the scale of the graph.

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28.

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

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29.

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

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30.

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

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31.

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

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32.

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

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33.

Find the Maximum or the Minimum value of

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34.

Use the graph below to answer question a and b

a. Find f(-3)=

b. Solve f(x)=4; x=

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35.

Graph

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

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36.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

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

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38.

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

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39.

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

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40.

For the piecewise function

Find the value of f(5)

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41.

Write the equation of the line below in Standard form:

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42.

Find the x-intercept and y-intercept of the line below:

Show work. Don't skip steps!

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43.

Solve the system of equations below:

Show work. Don't skip steps!

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44.

Write the equation of the line in point -slope form passing through (-5, 3) and is Perpendicular to the line

Show work.

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45.

Find the x-intercept and y-intercept of the line below, then graph the function in the show your work section.

x-intercept =

y-intercept =

Asemmisa {{asɛmmisaAhyɛnsode}}
46.

Expand:

Show work.

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47.

For what value(s) of will

be equal to 0?

Show work.

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48.

Solving the equation

is equilavent to solving

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49.

The parabola

intersects the x-axis at which of the following x-values?

Show work.

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50.

The function

intersect the x-axis at which of the following values?

Show work.

Exam choices carefully.

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51.

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

Examine choices carefully.

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52.

Which of the following functions could represent the graph below?

Examine choices carefully.

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53.

Find the zeros of

Show work.

Examine choices carefully.

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54.

A quadratic function has roots of

Which of the following could be its equation?

Show work.

Examine choices carefully.

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55.

If

for what value(s) of x

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56.

For what value(s) of x will the graph of

intersect the graph of