End Behavior and Finding Roots

Front

Describe the end behavior of the function: f(x) = -5x² + 3x

Back

Left down, Right down

Front

Find all roots: (x - 3)(3x + 1)(x + 1) = 0

Back

3, -1/3, -1

Front

Describe the end behavior of the function: f(x) = 2x³ - x + 5

Back

Left down, Right up

Front

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient for f(x) = 4x² + 2x - 1.

Back

Leading Coefficient Positive, Degree - Even

Front

What is the leading coefficient of the polynomial f(x) = -3x⁴ + 5x² - 2?

Back

-3

Front

What is the degree of the polynomial f(x) = 7x³ - 4x + 1?

Back

3

Front

Describe the end behavior of the function: f(x) = -2x⁵ + 4x³ - x + 1

Back

Left up, Right down

Front

What are the roots of the polynomial f(x) = x² - 5x + 6?

Back

2, 3

Front

What is the end behavior of the function f(x) = x⁴ - 2x² + 1?

Back

Left up, Right up

Front

Identify the leading coefficient and degree of the polynomial f(x) = -x³ + 3x² - 4x + 2.

Back

Leading Coefficient Negative, Degree - Odd