Mrs. Stakiwicz- Optional Extra Credit for 3.5-3.6 Test

Front

What is a local maximum in a function?

Back

A local maximum is a point in the domain of a function where the function value is greater than or equal to the values of the function at nearby points.

Front

What is a local minimum in a function?

Back

A local minimum is a point in the domain of a function where the function value is less than or equal to the values of the function at nearby points.

Front

How do you identify turning points on a graph?

Back

Turning points can be identified where the derivative of the function is zero or undefined, indicating a change in direction of the graph.

Front

What are zeros of a function?

Back

Zeros of a function are the values of x for which the function f(x) = 0.

Front

How can you find the number of zeros in a polynomial function?

Back

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

Front

Back

The degree of the polynomial is 4, which is the highest power of x in the expression.

Front

What does it mean for a function to have a local maximum at (1, 4)?

Back

It means that at x = 1, the function reaches a peak value of 4 compared to nearby points.

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What does it mean for a function to have a local minimum at (3, 0)?

Back

It means that at x = 3, the function reaches a lowest value of 0 compared to nearby points.

Front

How do you determine the x-intercepts of a function from its graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, which correspond to the zeros of the function.

Front

What is the significance of the turning points in a graph?

Back

Turning points indicate where the function changes direction, which can help in understanding the behavior of the function.