Honors Algebra 2 - Section 4.3 Review

Front

What does it mean if the graph of a function crosses the x-axis at a zero?

Back

It indicates that the zero has an odd multiplicity.

Front

Which function has the highest degree in the following options? f(x) = x^4 - x^3 + 3x^2 + 2, f(x) = -x^4 + x^3 + 5x + 2, f(x) = x^3 - 2x^2 + 1x + 3, f(x) = -x^3 - 2x^2 + 1x + 3

Back

f(x) = x^4 - x^3 + 3x^2 + 2 has the highest degree (4).

Front

What is the degree of the polynomial function f(x) = 6x^2 + 4 - 3x^4 + 5x - 9x^3?

Back

The degree of the function is 4.

Front

In a polynomial graph, what does a zero with a multiplicity of 2 indicate?

Back

It indicates that the graph touches the x-axis at that zero but does not cross it.

Front

What is the end behavior of the function p(x) = 3x^6 - 2x^4 + x - 5?

Back

As x → -∞, p(x) → ∞ and as x → ∞, p(x) → ∞.

Front

Define 'multiplicity' in the context of polynomial functions.

Back

Multiplicity refers to the number of times a particular zero appears in a polynomial function.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the graph.

Front

How can you determine the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What does it mean for a polynomial to have an even degree?

Back

If a polynomial has an even degree, its ends will rise or fall in the same direction.

Front

What is the general form of a polynomial function?

Back

A polynomial function is expressed as f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.