The weight of an ideal cut round diamond can be modeled by the polynomial f(d)=0.0071d^3−0.090d^2+0.48d , where d is the diameter of the diamond. Find the domain and range of the function in the context of the situation. A)The domain and range are both all real numbers.
B)The domain is {d|d≥0} , and the range is {f(d)||f(d)≥0} .
C)The domain is {d|d≥0} , and the range is all real numbers.
D)The domain is all real numbers, and the range is {f(d||f(d)≥0)} .

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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