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Quickly Identify ARC/Slope

Total questions: 50

Worksheet time: 27mins

Name
Class
Date
1.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 12x + 250f\left(x\right)\ =\ \frac{1}{2}x\ +\ 250

b)

g(x) = 2x 400g\left(x\right)\ =\ 2x\ -\ 400

2.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 32x f\left(x\right)\ =\ \frac{3}{2}x\

b)

g(x) = 23x g\left(x\right)\ =\ \frac{2}{3}x\

3.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 5x + 100f\left(x\right)\ =\ 5x\ +\ 100

b)

g(x) = 500xg\left(x\right)\ =\ 500x

4.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = x + 2f\left(x\right)\ =\ x\ +\ 2

b)

g(x) = 2xg\left(x\right)\ =\ 2x

5.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 5xf\left(x\right)\ =\ -5x

b)

g(x) = 5xg\left(x\right)\ =\ 5x

6.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 12xf\left(x\right)\ =\ -\frac{1}{2}x

b)

g(x) = x 12g\left(x\right)\ =\ x\ -\ \frac{1}{2}

7.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 2xf\left(x\right)\ =\ -2x

b)

g(x) = x g\left(x\right)\ =\ x\

8.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 12f\left(x\right)\ =\ 12

b)

g(x) = 12x g\left(x\right)\ =\ 12x\

9.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 3x + 2f\left(x\right)\ =\ 3x\ +\ 2

b)

g(x) = 2x + 3g\left(x\right)\ =\ 2x\ +\ 3

10.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 3x 2.5 × 5f\left(x\right)\ =\ 3x\ -\ 2.5\ \times\ 5

b)

g(x) = x + 3 × 5g\left(x\right)\ =\ x\ +\ 3\ \times\ 5

11.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 15xf\left(x\right)\ =\ \frac{1}{5}x

b)

g(x) = 110xg\left(x\right)\ =\ \frac{1}{10}x

12.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 15xf\left(x\right)\ =\ \frac{1}{5}x

b)

g(x) = 25xg\left(x\right)\ =\ \frac{2}{5}x

13.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 9x + 3f\left(x\right)\ =\ 9x\ +\ 3

b)

g(x) = 2x 4g\left(x\right)\ =\ 2x\ -\ 4

14.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = x + 3f\left(x\right)\ =\ x\ +\ 3

b)

g(x) = 3 + 2xg\left(x\right)\ =\ 3\ +\ 2x

15.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)

f(x) = 12 xf\left(x\right)\ =\ 12\ -\ x

b)

g(x) = 12 + xg\left(x\right)\ =\ 12\ +\ x

16.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
17.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
18.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
19.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
20.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
c)
21.

Identify the function with the greatest Average Rate of Change (aka Slope).

a)
b)
22.

Identify the slope in the function:

 f(x) = 2x + 12f\left(x\right)\ =\ 2x\ +\ 12  



(a)  

23.

Identify the slope in the function:

 f(x) = 4.3x  3f\left(x\right)\ =\ 4.3x\ -\ 3  



(a)  

24.

Identify the slope in the function:

 f(x) = 18x + 100f\left(x\right)\ =\ \frac{1}{8}x\ +\ 100  



(a)  

25.

Identify the slope in the function:

 f(x) = 32xf\left(x\right)\ =\ -\frac{3}{2}x  



(a)  

26.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 2xf\left(x\right)\ =\ 2x  

a)

Positive

b)

Negative

c)

Zero

27.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 12xf\left(x\right)\ =\ \frac{1}{2}x  

a)

Positive

b)

Negative

c)

Zero

28.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 12x  3f\left(x\right)\ =\ \frac{1}{2}x\ -\ 3  

a)

Positive

b)

Negative

c)

Zero

29.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 2x + 10,000,000f\left(x\right)\ =\ -2x\ +\ 10,000,000  

a)

Positive

b)

Negative

c)

Zero

30.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 0x + 4f\left(x\right)\ =\ 0x\ +\ 4  

a)

Positive

b)

Negative

c)

Zero

31.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 4f\left(x\right)\ =\ 4  

a)

Positive

b)

Negative

c)

Zero

32.

Identify the slope as Positive, Negative, or Zero.

 f(x) = x  5f\left(x\right)\ =\ x\ -\ 5  

a)

Positive

b)

Negative

c)

Zero

33.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 12 + 4xf\left(x\right)\ =\ 12\ +\ 4x  

a)

Positive

b)

Negative

c)

Zero

34.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 82 + xf\left(x\right)\ =\ -82\ +\ x  

a)

Positive

b)

Negative

c)

Zero

35.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 8 + 10f\left(x\right)\ =\ -8\ +\ 10  

a)

Positive

b)

Negative

c)

Zero

36.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 10  3xf\left(x\right)\ =\ 10\ -\ 3x  

a)

Positive

b)

Negative

c)

Zero

37.

Identify the slope as Positive, Negative, or Zero.

 f(x) = xf\left(x\right)\ =\ x  

a)

Positive

b)

Negative

c)

Zero

38.

Identify the slope as Positive, Negative, or Zero.

 f(x) = xf\left(x\right)\ =\ -x  

a)

Positive

b)

Negative

c)

Zero

39.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 7f\left(x\right)\ =\ -7  

a)

Positive

b)

Negative

c)

Zero

40.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 7xf\left(x\right)\ =\ -7x  

a)

Positive

b)

Negative

c)

Zero

41.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 7x + 10f\left(x\right)\ =\ -7x\ +\ 10  

a)

Positive

b)

Negative

c)

Zero

42.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 2x + 10f\left(x\right)\ =\ 2x\ +\ 10  

a)

Positive

b)

Negative

c)

Zero

43.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 12x + 10f\left(x\right)\ =\ \frac{1}{2}x\ +\ 10  

a)

Positive

b)

Negative

c)

Zero

44.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 0.000000001x + 10f\left(x\right)\ =\ 0.000000001x\ +\ 10  

a)

Positive

b)

Negative

c)

Zero

45.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 11,000,000x  1,000,000f\left(x\right)\ =\ \frac{1}{1,000,000}x\ -\ 1,000,000  

a)

Positive

b)

Negative

c)

Zero

46.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 1,000,000f\left(x\right)\ =\ -1,000,000  

a)

Positive

b)

Negative

c)

Zero

47.

Identify the slope as Positive, Negative, or Zero.

 f(x) = 2 + 2f\left(x\right)\ =\ 2\ +\ 2  

a)

Positive

b)

Negative

c)

Zero

48.

Identify the slope as Positive, Negative, or Zero.

 f(x) = xf\left(x\right)\ =\ x  

a)

Positive

b)

Negative

c)

Zero

49.

Identify the slope as Positive, Negative, or Zero.

 f(x) = x + 3f\left(x\right)\ =\ x\ +\ 3  

a)

Positive

b)

Negative

c)

Zero

50.

Identify the slope as Positive, Negative, or Zero.

 f(x) = x + x + 5f\left(x\right)\ =\ -x\ +\ x\ +\ 5  

a)

Positive

b)

Negative

c)

Zero