Problem Set-Quarter 2 Part 1

Which of the following is a polynomial function?

• 𝑦=𝑥 ⁻³ + 2𝑥 ² + 𝑥 − 1

What are the zeros of f(x)=x³ – 3x² – 4x?

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}        

• {4, 1}

The function shown in the graph is:

• Even

• Odd

• Neither even nor odd

• Both even and odd

Answer explanation

If the degree, n, of the polynomial is odd, the left end side will do the opposite of the right end side.

If the leading coefficient, an, of the polynomial is positive, then the right-hand side of the graph will rise towards + infinity.

The function shown in the graph is:

• Even

• Odd

• Neither even nor odd

• Both even and odd

Answer explanation

If the degree, n, of the polynomial is odd, the left end side will do the opposite of the right end side.

If the leading coefficient, an, of the polynomial is positive, then the right-hand side of the graph will rise towards + infinity.

The function shown in the graph is:

• Even

• Odd

• Neither even nor odd

• Both even and odd

Answer explanation

If the degree, n, of the polynomial is even, the left end side will do the same as the right end side.

If the leading coefficient, an, of the polynomial is negative, then the right-hand side of the graph will fall towards - infinity.