Free Printable Functions, Systems, Domain and Range, Oh MY!!!!!

1.

A toy boat was launched from the shore of a lake and its distance from shore was recorded in the table shown.

Which of the following best represents the quadratic relationship between the boat’s distance from shore, d, and elapsed time, t?

a)

$d=5.59t-13.57$

b)

$d=2t+5$

c)

$d=0.30t^2+0.78t+0.86$

d)

$d=t^2$

2.

To determine where to find the best price on tools, Andrew collected data on the prices of 7 different items at two hardware stores, Home Depot and Lowe’s. His data is shown in the table.

Which equation best fits the linear relationship?

a)

$f\left(x\right)=0.05x^2+0.38x+2.76$

b)

$f\left(x\right)=5.00x-6.50$

c)

$f\left(x\right)=6.50x^2-1.50x+19.50$

d)

$f\left(x\right)=1.38x-1.56$

3.

A table of values for the quadratic function g(x) is shown at right.

Which function is best represented by the table?

a)

$g\left(x\right)=x^2-2x-15$

b)

$g\left(x\right)=4x-8$

c)

$g\left(x\right)=-3x+5$

d)

Not enough information to find a function

4.

Which of the following systems of linear functions is represented by the graph? (Hint: CMD)

a)

$3x+y=-6$
$3x+2y=-12$

b)

$-3x+y=-6$
$-3x+2y=-12$

c)

$3x-y=6$
$3x-2y=12$

5.

Which of the following systems of linear functions is represented by the graph? (Hint: CMD)

a)

$3x+y=6$
$3x+2y=18$

b)

$-3x+y=6$
$-2x+3y=18$

c)

$3x+y=6$
$2x+3y=18$

6.

Which of the following systems of linear functions is represented by the graph? (Hint: CMD)

a)

$10x+3y=0$
$-4x+2y=0$

b)

$-10x+3y=0$
$2x+4y=0$

c)

$3x+10y=0$
$4x-2y=0$

7.

From this screen, which option gives you the equation of a linear function?

a)

5:QuadReg

b)

1:1-Var Stats

c)

4:LinReg(ax+b)

d)

3:Med-Med

8.

From this screen, which option gives you the equation of a quadratic function?

a)

5:QuadReg

b)

1:1-Var Stats

c)

4:LinReg(ax+b)

d)

3:Med-Med

9.

A ball was projected into the air with an initial upward velocity of 72 feet per second. The quadratic function graphed shows the height, h, of the ball t seconds after it was projected into the air.

Which of the following is true about the situation above?

a)

$Domain:\ all\ real\ numbers$
$Range:\ 0\le y\le80$

b)

$Domain:\ 0\le x\le4.5$
$Range:\ all\ real\ numbers$

c)

$Domain:\ 0\le x\le4.5$
$Range:\ 0\le y\le80$

d)

$Domain:\ 0\le x\le72$
$Range:\ 0\le y\le72$

10.

Which of the following is true about the quadratic graphed above?

a)

$Domain:\ all\ real\ numbers$
$Range:\ y\ge-4$

b)

$Domain:\ 0\le x\le6$
$Range:\ all\ real\ numbers$

c)

$Domain:\ 0\le x\le6$
$Range:\ -4\le y\le6$

d)

$Domain:\ 1\le x\le5$
$Range:\ all\ real\ numbers$

11.

Which of the following is true about the quadratic function $g\left(x\right)=x^2+8x-9$ ?

a)

$Domain:\ -9\le x\le1$
$Range:\ y\ge-25$

b)

$Domain:\ all\ real\ numbers$
$Range:\ y\ge-9$

c)

$Domain:\ all\ real\ numbers$
$Range:\ all\ real\ numbers$

d)

$Domain:\ all\ real\ numbers$
$Range:\ y\ge-25$

12.

Which of the following is true about the quadratic function $g\left(x\right)=2x^2+8x+9$ ?

a)

$Domain:\ -4\le x\le0$
$Range:\ y\ge1$

b)

$Domain:\ all\ real\ numbers$
$Range:\ all\ real\ numbers$

c)

$Domain:\ all\ real\ numbers$
$Range:\ y\ge1$

d)

$Domain:\ all\ real\ numbers$
$Range:\ y\ge-2$

Functions, Systems, Domain and Range, Oh MY!!!!!

Total questions: 12

Worksheet time: 1hrs 10mins

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