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 it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a given input.

Front

If f(x) = x^2 - 5x, what is f(4)?

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the value of g(x) = -8x + 1 at x = -2?

Back

g(-2) = -8(-2) + 1 = 16 + 1 = 17.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What does the term 'domain' refer to in functions?

Back

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

Front

What does the term 'range' refer to in functions?

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 determine if a relation is a function?

Back

A relation is a function if each input is associated with exactly one output.