Identifying Functions and Function Tables

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean if a graph passes the Vertical Line Test?

Back

If a graph passes the Vertical Line Test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

What is the significance of the Horizontal Line Test?

Back

The Horizontal Line Test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Front

What is a function table?

Back

A function table is a table that displays pairs of input and output values, showing how each input is related to its output.

Front

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the output of the function f(x) = x^2 when the input is 5?

Back

f(5) = 5^2 = 25.

Front

What does the equation y = 3x + 2 represent?

Back

This equation represents a linear function where the slope is 3 and the y-intercept is 2.

Front

What is the relationship between the variables in the equation b = a + 13?

Back

In this equation, b is always 13 units greater than a.