Which of the given functions could this graph represent?

a. f(x) = x(x − 1)(x + 1)
b. f(x) = (x − 1)(x − 2)(x + 1)(x + 2)
c. f(x) = x(x − 1)(x − 2)(x + 1)(x + 2)
d. f(x) = x(x − 1)(x − 2)

The answer is B. f(x) = (x − 1)(x − 2)(x + 1)(x + 2)

B. f(x) = (x − 1)(x − 2)(x + 1)(x + 2)

Step-by-step explanation:

Choice A will be a transformation of the function f(x) = x³.  The parent function goes from the third quadrant through the origin into the first quadrant.  This is not a cubic function.

Choice C will be a transformation of the function f(x) = x⁵.  The parent function goes from the third quadrant through the origin into the first quadrant.  This is not one of those functions.

Choice D will be a transformation of the function f(x) = x³.  This is not a cubic function.

Choice D will be a transformation of the function f(x) = x⁴.  These functions go from the second quadrant across the y-axis into the first quadrant.  This is a quartic function.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: