HA pd5: zeros and functions review

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.

Front

Identify the solutions of the function f(x) = 0.

Back

Solutions are the values of x that make the function equal to zero.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function.

Front

How can you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What are roots of a function?

Back

Roots of a function are the same as zeros; they are the x-values where the function crosses the x-axis.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros, set the function equal to zero and solve for x.

Front

What does it mean if a graph has no solutions?

Back

If a graph has no solutions, it means the function does not intersect the x-axis.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, indicating the zeros of the function.

Front

How do you identify the roots of the function f(x) = -4(x - 3)(x + 5)?

Back

Set f(x) = 0 and solve: x - 3 = 0 (x = 3) and x + 5 = 0 (x = -5). The roots are x = 3 and x = -5.