Functions Review

Front

What is a function in mathematics?

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

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's expression and simplify.

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

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input value corresponds to exactly one output value.

Front

How do you determine if a relation is a function using the vertical line test?

Back

A relation is a function if no vertical line intersects the graph of the relation at more than one point.

Front

What is the significance of the inequality -5 ≤ x ≤ 3 in relation to a function's domain?

Back

The inequality -5 ≤ x ≤ 3 indicates that the function is defined for all x-values between -5 and 3, inclusive.

Front

What is the process for finding the value of a function at a given point, such as f(4) for f(x) = x^2 - 5x?

Back

To find f(4), substitute 4 into the function: f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What does it mean when a relation is described as 'Not a Function'?

Back

A relation is described as 'Not a Function' if at least one input value corresponds to more than one output value.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.