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ANW 03/04/24 Linear, Quadratic, Exponential Assignment

Total questions: 29

Worksheet time: 2hrs 32mins

Name
Class
Date
1.
Question Image

Match the following functions to their represented regression equation.

a)

Linear Function

1.

y=mx+by=mx+b

b)

Quadratic Function

2.

y=ax2+bx+cy=ax^2+bx+c

c)

Exponential Function

3.

y=abxy=ab^x

2.
Question Image

Match the correct type of function that appears to best fit the data for each graph shown.

a)
1.

Exponential

b)
2.

Linear

c)
3.

Quadratic

3.

Write the linear regression equation for the following data points. Round to the nearest hundredth.

a)

y=−0.83x+0.61y=-0.83x+0.61

b)

y=0.83x+0.63y=0.83x+0.63

c)

y=0.83x+−0.8y=0.83x+-0.8

d)

a2+b2=c2a^2+b^2=c^2

4.

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

a)

-18x2 + 2.11x + 4.21

b)

-.06x2 +1.06x + 7.9

c)

-6x2 +1.06x + 79

d)

-.12x2 + 2.11x + 4.22

5.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
6.
Is the table linear or exponential?
a)
Linear
b)
Exponential
7.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
8.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

9.

This is a ________________ function.

a)

Linear

b)

Exponential

c)

Quadratic

10.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

11.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

12.
Is the table linear, exponential, or quadratic?
a)
Linear
b)
Exponential
c)
Quadratic
d)
none of these
13.
This table represents what kind of function?
a)
Linear
b)
Exponential Growth
c)
Exponential Decay
d)
Quadratic
14.

y=x2

What type of equation is the above?

a)

exponential

b)

linear

c)

quadratic

d)

neither

15.
a)

Linear

b)

Quadratic

c)

Exponential

16.

This equation y=x2+4x−12y=x^2+4x-12 is an example of a

​ ​ (a)   equation.

​

Choose from the below words
exponential
linear
quadratic
absolute value
17.
Identify the following function. 
a)
Linear
b)
Exponential
c)
Quadratic
d)
Neither
18.

Organize these options into the right categories.

Categorize the following

f(x)=3x+2f\left(x\right)=3x+2  

f(x)=4(2)x+1f\left(x\right)=4\left(2\right)^x+1  

y=5xy=5^x  

y=7(.25)3xy=7\left(.25\right)^{3x}  

f(x)=2f\left(x\right)=2  

y=4x2+2x−1y=4x^2+2x-1  

Linear
Exponential
Quadratic
19.

Organize these options into the right categories.

Categorize the following
Linear
Exponential
Quadratic
20.

Organize these options into the right categories.

Categorize the following
Linear
Exponential
Quadratic
21.

Labels the parts of the parabola

22.

What is the y-intercept of this function?

a)

(0,0)

b)

(0,1)

c)

(-3,0)

d)

(0,-3)

23.

Is the equation linear, exponential, or quadratic?

y = 2x+ 4

a)

Linear

b)

Exponential

c)

Quadratic

d)

None of the above

24.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

25.

MATCH TABLE GRID EXAMPLE 1

Which of the relations shown represent y as a function of x?

Select ONE correct answer in each row.

26.

Identify the following characteristics of a parabola

27.

The values of the table represents a linear relationship between x and y.

What is the rate of change of y with respect to x?

28.

The graph of linear function g passes through the points (-7, -4) and

(7, 6), as shown. What are the slope and y-intercept of the graph of g?

a)

The slope is 57,\frac{5}{7},  and the

y-intercept is -1.

b)

The slope is 57,\frac{5}{7},  and the

y-intercept is 1.

c)

The slope is 75,\frac{7}{5},  and the

y-intercept is -1.

d)

The slope is 75,\frac{7}{5},  and the y-intercept is 1.

29.

What is the solution to:

4(y−3)+19=8(2y+3)+74\left(y-3\right)+19=8\left(2y+3\right)+7  ?

HINT: Use nSolve