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Which of the following values of x has no image for the function f(x)=x³-20-3

A. x=2
B. x=3
C. x=5
D. x=-4

User Nathan
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1 Answer

2 votes

Final answer:

All given values of x have an image for the polynomial function f(x)=x³-20-3, as polynomials are defined for all real numbers and thus every real number is within their domain.

Step-by-step explanation:

The student's question asks for the value of x that would not have an image for the function f(x)=x³-20-3. Every function has an image for a real number within its domain unless the function is undefined for that number. In the case of a polynomial, every real number is within the domain, meaning every value of x will have an image. The function given is a polynomial, so it is defined for all real numbers, which means all the options A (x=2), B (x=3), C (x=5), and D (x=-4) will have an image. Therefore, there is no value of x among the given options that has no image for the function.

User Smichak
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