Which function represents the graph below?
a. f(x) = 3 |_x_|
b. f(x) = 3 |x|
c. f(x) = 3 [x]
d. f(x) = |x|+3

D. F(x)=|X|+3

Step-by-step explanation:

f(x) or y = |X| which means that for any value of x, the value of y will be positive since x is in an absolute value. the line is going to be passing through the origin since it follows this following expression (y=ax). if you add +3 like given in choice (D): f(x)=|x|+3, the function now follows the expression (y=ax+b) which means that the value of y will increase based on the value of (b), we have (b) here to +3 so the value of (y) will increase 3 points upward making (D) the right answer.

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.