T 3.1 Relations and Functions Assessment

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line. Its general form is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

How do you find the intersection of two functions?

Back

To find the intersection, set the two functions equal to each other and solve for x. The x-values found will give the points where the functions intersect.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at points where the denominator of a fraction is zero or where the function does not have a valid output.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when the input x is zero.