Evaluating Functions from Graphs

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 does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's equation.

Front

How do you read a graph to find the value of a function?

Back

To find the value of a function from a graph, locate the input on the x-axis, then find the corresponding output on the y-axis.

Front

What is the notation for a function?

Back

The notation for a function is typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

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

Back

f(2) = 2(2) + 3 = 7.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value. This can be checked using the vertical line test on a graph.

Front

What does f(-3) represent?

Back

f(-3) represents the output of the function f when the input is -3.

Front

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

Back

f(4) = 4^2 = 16.