Question

Identify whether the function f(x)=3x5 is a monomial function, power function, both, or neither.

Answer 1

f(x)=3x5 is both monomial function, power function

Explanation:

Monomial function is one which has only one term that is non-zero term.

example

b is a monomial with one variable

5xy^2 is a monomial with two variable

10x^10 is a monomial with one variable.

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power function is one which consist of a coefficient, a variable and that variable is raised to some non-zero power.

example

2x^6

area of circle =
`\pi r^2`

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given function

f(x)=3x5

1. it has only one non zero term thus qualifies to be called monomial

2. It has a coefficient 5, a variable x and that x is raised to some non-zero power 5. Thus, it is a power function as well.