Evaluating Functions

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 f(x) represent in a function?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

Evaluate f(x) = 2x - 5 at x = -2.

Back

f(-2) = 2(-2) - 5 = -4 - 5 = -9.

Front

What is the value of f(0) if f(x) is represented graphically?

Back

The value of f(0) is the y-coordinate of the point where the graph intersects the y-axis.

Front

Given a mapping, how do you find the value of g(5)?

Back

Look for the input 5 in the mapping and find its corresponding output.

Front

Evaluate r(x) = x^2 + 3x - 2 at x = -2.

Back

r(-2) = (-2)^2 + 3(-2) - 2 = 4 - 6 - 2 = -4.

Front

What is a function table?

Back

A function table is a chart that shows pairs of input values and their corresponding output values for a function.

Front

How do you find f(10) from a function table?

Back

Locate the input value 10 in the table and read the corresponding output value.

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.