Calculate the average rate of change of f(x) = x2 4 - 5 for 3 ≤ x ≤ 5. a) -2 b) - 4 3 c) 4 3 d) 2

D)2

Step-by-step explanation:

ƒ(x)  = x²/4 - 5; 3 ≤ x ≤ 5

Calculate the values of f(3) and f(5)

f(3) = 3²/4 - 5 =    9/4 - 5 =  -2.75

f(5) = 5²/4 - 6 = 25/4 - 5  =   1.25

Calculate the average rate of change

Rate of change = (y₂ - y₁)/(x₂-x₁) = [1.25 -(-2.75)]/(5 - 3) = 4.00/2

= 2.00

The average rate of change is 2.00.

In the figure below, the red curve represents the function ƒ(x), while the black dashed line represents the average rate of change over the interval (3, 5).

The value of ƒ(x) increases by two units for every unit that x increases.

50-38=12

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional