Finding zeros, Maxima, Minima ...

Front

What is a linear function?

Back

Front

How do you find the value of a quadratic function at a specific point?

Back

Front

What is the difference between absolute maximum and relative maximum?

Back

An absolute maximum is the highest point over the entire domain of a function, while a relative maximum is the highest point in a specific interval.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What is the line of symmetry in a quadratic function?

Back

Front

How do you determine the zeros of a function?

Back

To find the zeros of a function, set the function equal to zero and solve for the variable.

Front

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

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Front

What does it mean for a function to have a real zero?

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Front

How can you identify the intervals where a function is increasing or decreasing?

Back

To identify intervals of increase or decrease, analyze the first derivative of the function. If the derivative is positive, the function is increasing; if negative, it is decreasing.

Front

What is the purpose of the first derivative test?

Back

The first derivative test is used to determine whether a critical point is a local maximum, local minimum, or neither.