Review T7 U4: Polynomial Graphs & Features

Front

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as the input values approach positive or negative infinity. It is determined by the leading term of the polynomial.

Front

What is the axis of symmetry for a parabola?

Back

The axis of symmetry for a parabola is a vertical line that passes through the vertex of the parabola. For a parabola with vertex (h, k), the axis of symmetry is given by the equation x = h.

Front

How do you identify a solution to a system of equations graphically?

Back

A solution to a system of equations is the point where the graphs of the equations intersect. This point satisfies all equations in the system.

Front

What is a negative interval in the context of polynomial functions?

Back

A negative interval is a range of x-values where the function's output (y-values) is negative. It can be identified by analyzing the graph of the function.

Front

What does it mean when a polynomial function approaches infinity as x approaches negative infinity?

Back

It means that as the input values decrease without bound, the output values of the function increase without bound.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you determine the degree of a polynomial?

Back

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

Front

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

Back

The leading coefficient determines the direction of the graph's end behavior. If it is positive, the graph rises to the right; if negative, it falls to the right.

Front

What is the difference between increasing and decreasing intervals in a polynomial graph?

Back

Increasing intervals are ranges where the function's output values rise as the input values increase, while decreasing intervals are where the output values fall.

Front

What is a parabola's standard form equation?

Back

The standard form of a parabola's equation is given by y = a(x - h)² + k, where (h, k) is the vertex.