Features of Functions + Function Algebra

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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 do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

Front

What does f(x) + g(x) represent?

Back

f(x) + g(x) represents the sum of the outputs of two functions f and g for the same input x.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input.

Front

What is the minimum value of a function?

Back

The minimum value of a function is the lowest point on its graph, representing the smallest output value.

Front

What is the slope of a linear function?

Back

The slope of a linear function indicates the steepness of the line and is calculated as the change in y over the change in x.

Front

How do you find the y-intercept of a function?

Back

The y-intercept of a function is found by evaluating the function at x = 0.

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function, denoted as (f ∘ g)(x) = f(g(x)).