math

What is the definition of a function?

A function assigns exactly one output for each input.

What does the term 'domain' refer to in a function?

The domain is the set of all possible input values, also known as the independent variable.

What is meant by 'range' in a function?

The range is the set of all possible output values, also known as the dependent variable.

What is the standard form of a linear equation?

The standard form of a linear equation is Ax + By = C.

What identifies an increasing function?

A function is increasing if its graph goes up as it moves from left to right.

What is the slope-intercept form of a linear equation?

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

What does the x-intercept represent?

The x-intercept represents the x-coordinate of a point where the graph crosses the x-axis.

What is a continuous function?

A continuous function is one where the points are connected, forming a curve.

How can you determine a positive or negative function?

A function is positive if it is above the x-axis and negative if it is below the x-axis.

What is a linear function?

A linear function is a function that forms a straight line on a graph.

What is the definition of 'line symmetry'?

Line symmetry occurs when one side of a figure matches the other side exactly.

What is a discrete function?

A discrete function consists of distinct points that are not connected on a graph.

What indicates a negative correlation?

A negative correlation occurs when one variable increases while the other decreases.

How do you convert from point-slope form to slope-intercept form?

You rearrange the equation to isolate y on one side.

What does it mean if a circle is not a function?

A circle is not a function because it has multiple outputs (y-values) for some inputs (x-values).

What is an inverse relation?

An inverse relation is formed by exchanging the x and y values in a relation.

What characterizes a non-linear equation?

A non-linear equation does not form a straight line and can involve powers, square roots, etc.

What is the equation for a positive reflection in the x-axis?

The reflection over the x-axis is represented by f(x) = -x.

What does the maximum value of a function indicate?

The maximum value indicates the highest point on the graph in the range.

Define the term 'solution' in relation to functions.

A solution is where the graph of a function crosses the x-axis.