Zeros of Functions

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which the function f(x) = 0. They are also known as the roots of the function.

Front

How do you find the zeros of a quadratic function?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What is a linear function?

Back

Front

How do you determine the y-intercept of a function?

Back

The y-intercept of a function is the value of f(x) when x = 0. It can be found by substituting x = 0 into the function.

Front

What is the relationship between the roots and the factors of a polynomial?

Back

Front

What is the vertex of a parabola?

Back

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of x into the function and simplify to find f(x).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if, as x increases, f(x) also increases. It is decreasing if, as x increases, f(x) decreases.