M317 UNIT07 DAY08

Front

What is the degree of the polynomial function P(x) = 3x^4 - 7x^2 - 2x^7 - x + 4?

Back

The degree of the polynomial is 7.

Front

How many zeros does the polynomial function P(x) = 3x^4 + 4x - 8 have?

Back

The polynomial has 4 zeros.

Front

What is the end behavior of the polynomial function if x → −∞, y → ∞ and x → ∞, y → ∞?

Back

The end behavior is: as x approaches negative infinity, y approaches positive infinity, and as x approaches positive infinity, y approaches positive infinity.

Front

Is the function P(x) = 3x^4 - 7x^2 - 2x^7 - x + 4 an even or odd function?

Back

The function is odd.

Front

Classify the polynomial 3x^2 + 5x - 1 by degree.

Back

The polynomial is classified as quadratic.

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form P(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the leading coefficient of the polynomial P(x) = 3x^4 - 7x^2 - 2x^7 - x + 4?

Back

The leading coefficient is -2.

Front

What does it mean for a polynomial to have a degree of 4?

Back

A polynomial of degree 4 can have up to 4 real zeros and its graph can have up to 3 turning points.

Front

What is the difference between even and odd functions?

Back

Even functions satisfy f(-x) = f(x) for all x, while odd functions satisfy f(-x) = -f(x) for all x.

Front

How can you determine the number of zeros of a polynomial function?

Back

The number of zeros can be determined by the degree of the polynomial, which indicates the maximum number of real zeros.