Graphing Functions Flashcard

Front

What are the zeros of the function f(x) = x^4 - x^2 + x?

Back

(0, 3)

Front

How do you find the maximum or minimum of the function f(x) = -x^5 + 4x^3 - 5x - 2?

Back

(5, 7)

Front

What is the vertex of the function f(x) = x^3 + 11x^2 + 35x + 32?

Back

(3, 2)

Front

Find the zeros of the function f(x) = x^5 - 4x^3 + 4x - 1.

Back

(0, 2) (3, 2)

Front

What intervals are on which g(x) = -2x(x-4)(x+1) < 0?

Back

(D) (-1, 0)∪(4, ∞)

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(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 degree of a polynomial function?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) > f(x2).

Front

What is the significance of the vertex in a polynomial function?

Back

The vertex of a polynomial function is the point where the function reaches its maximum or minimum value.