Functions Prior Knowledge Check

What is a function?

• A function is a type of relation where there is exactly one output for every input.

• A function is a variable that stores a value.

• A function is a keyword used to define a loop.

• A function is a type of data structure.

What is the domain of a function?

• The domain of a function is the set of all possible input values for the function except for zero.

• The domain of a function is the set of all possible input values for the function.

• The domain of a function is the set of all possible output values for the function.

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

What is the range of a function?

• The range of a function is the set of all possible input values except the maximum value.

• The range of a function is the set of all possible output values.

• The range of a function is the set of all possible input and output values.

• The range of a function is the set of all possible input values.

Which graph is NOT a function?

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How do you represent a function using a graph?

• By drawing a line through the points on a coordinate plane.

• By writing the equation of the function on the graph.

• By connecting the points on a coordinate plane.

• By plotting points on a coordinate plane.

What is the difference between a relation and a function?

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

• A relation is a special type of function where each input has exactly one corresponding output.

• A relation is a mathematical operation, while a function is a logical operation.

• A relation is a one-to-one mapping, while a function is a many-to-one mapping.

In a set of ordered pair, (x, y), what variable represents the output?

• x

• y

In the set of ordered pairs, (2, 3), (4, 5), (6, 7) and (8, 9), which numbers refer to the inputs?

• 2, 3, 4, 5

• 6, 7, 8, 9

• 2, 4, 6, 8

• 3,5,7,9

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

• Identify the x-values for which the function is defined or has a corresponding y-value.

• Find the average of all the y-values on the graph.

• Count the number of x-intercepts.

• Look for the highest point on the graph.

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

• Determine the horizontal extent of the graph and examine the leftmost and rightmost points.

• Count the number of points on the graph.

• Look at the vertical extent of the graph and examine the highest and lowest points.

• Look at the slope of the graph and determine the range based on its steepness.