Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

A. Determine whether 9 – 4(–x)2 is equivalent to 9 – 4x2.
B. Determine whether 9 – 4(–x2) is equivalent to 9 + 4x2.
C. Determine whether 9 – 4(–x)2 is equivalent to –(9 – 4x2).
D. Determine whether 9 – 4(–x2) is equivalent to –(9 + 4x2).

Option C - determine whether is equivalent to or not.

Step-by-step explanation:

To find : Which statement best describes how to determine whether is an odd function?

Solution :

We have a property for odd functions,

Let f(x) be an odd function then it must satisfy

Now, we have been given the function

For this function to be odd, it must satisfy the above property.

Replace x with -x,

and

Hence, in order to the given function to be an odd function, we must determine whether is equivalent to or not.

Therefore, C is the correct option.

b.an increase in a causes b to decrease

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.