Understanding Functions extracredit3 Q3W2

What is a function in mathematics?

• A set of ordered pairs

• A relation between a set of inputs and a set of possible outputs

• A type of equation

• A geometric shape

Explain the difference between a relation and a function.

• A relation is a special type of function, while a function is a set of ordered pairs.

• A relation is a one-to-one mapping, while a function can have multiple outputs for the same input.

• A relation is always linear, while a function can be non-linear.

• A relation is a set of ordered pairs, while a function is a special type of relation where each input has only one output.

What is the domain of a function?

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

• The domain of a function is the set of all possible output values (y-values) for the function.

• The domain of a function is the range of all possible output values (y-values) for the function.

• The domain of a function is the set of all possible input values (y-values) for the function.

What is the range of a function?

• The range of a function is the set of all possible output values (y-values) that the function can produce.

• The range of a function is the slope of the function.

• The range of a function is the set of all possible input values (x-values) that the function can take.

• The range of a function is the same as the domain of the function.

Define the term 'function notation'.

• A way of representing a function as a table

• A way of representing a function as an equation with the input variable inside parentheses.

• A way of representing a function as a fraction

• A way of representing a function as a graph

Explain the concept of input and output in relation to functions.

• The location of the function

• The color of the function

• The values provided to the function as input and the result that the function produces as output.

• The size of the function

What is the vertical line test and how is it used to determine if a graph represents a function?

• It is a test used to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point.

• It is a test used to determine if a graph represents a function by checking if a vertical line intersects the graph at only one point.

• It is a test used to determine if a graph represents a function by checking if a diagonal line intersects the graph at more than one point.

• It is a test used to determine if a graph represents a function by checking if a horizontal line intersects the graph at more than one point.

Describe the process of evaluating a function at a specific value.

• Divide the function by the value

• Multiply the value by the function

• Substitute the value into the function and simplify the expression.

• Take the derivative of the function

What is the difference between a linear function and a quadratic function?

• A linear function has a higher degree than a quadratic function.

• A linear function graphs to a parabola, while a quadratic function graphs to a straight line.

• A linear function has a curve, while a quadratic function is a straight line.

• A linear function graphs to a straight line, while a quadratic function graphs to a parabola.

How can you determine if a given equation represents a function?

• Use the vertical line test

• Check if the equation has more than one solution

• Use the horizontal line test

• Count the number of variables in the equation