NC Math 4 Review for Final Part 1

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

How do you determine the range of a function from its graph?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce, which can be determined by observing the vertical extent of the graph.

Front

What does the notation f(x) = { -x+1 if x < 4; x if x ≥ 4 mean?

Back

This notation defines a piecewise function where for x values less than 4, the function is -x+1, and for x values greater than or equal to 4, the function is x.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the domain restrictions for a piecewise function?

Back

To find domain restrictions, analyze each piece of the function and identify the x-values for which each piece is valid.

Front

What is an absolute value function?

Back

An absolute value function is a function that contains an absolute value expression, typically in the form f(x) = |x|, which outputs the non-negative value of x.

Front

What transformations can be applied to an absolute value function?

Back

Transformations include vertical shifts, horizontal shifts, reflections across the x-axis, and stretching or compressing.

Front

How do you reflect a function across the x-axis?

Back

To reflect a function across the x-axis, multiply the entire function by -1.

Front

What does a vertical shift of a function mean?

Back

A vertical shift moves the graph of the function up or down by adding or subtracting a constant from the function.

Front

What is the significance of the vertex in an absolute value function?

Back

The vertex is the point where the function changes direction and is the minimum or maximum point of the graph.