Honors Algebra 2 - Section 4.3 Review

Front

What is the end behavior of the function f(x) = -2x^7 + 2x^4 + 4?

Back

As x approaches positive or negative infinity, f(x) approaches negative infinity.

Front

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

Back

The zero has an odd multiplicity.

Front

What does it mean if a function touches the x-axis at a zero?

Back

The zero has an even multiplicity.

Front

True or False: If (7x + 4) is a factor of some polynomial function f, then 4/7 is a zero of the function.

Back

False. The zero would be -4/7.

Front

Identify the zeros of the polynomial represented by (x+2)(x+6)(x-4).

Back

x = -2, x = -6, x = 4.

Front

What is the degree of the polynomial f(x) = -2x^7 + 2x^4 + 4?

Back

The degree is 7.

Front

What is the leading coefficient of the polynomial f(x) = -2x^7 + 2x^4 + 4?

Back

The leading coefficient is -2.

Front

How do you determine the number of real zeros of a polynomial function?

Back

By analyzing the degree and the behavior of the function.

Front

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

Back

It determines the end behavior of the function.

Front

What is a zero of a function?

Back

A value of x for which f(x) = 0.