Evaluating Functions

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from a given set.

Front

What does g(x) = x^2 - 4 represent?

Back

It represents a quadratic function where the output is calculated by squaring the input and then subtracting 4.

Front

How do you evaluate a function at a specific point, such as g(5)?

Back

To evaluate g(5), substitute 5 for x in the function g(x) and calculate the result.

Front

What are the y-values in a function also known as?

Back

The y-values are also known as the outputs or the range of the function.

Front

What does f(x) represent in function notation?

Back

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

Front

How do you find f(-1) for the function f(x) = 2x^2 + 5x - 17?

Back

To find f(-1), substitute -1 for x in the function and simplify the expression.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What is the standard form of a quadratic function?

Back

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

Front

What does it mean for a function to be evaluated?

Back

Evaluating a function means calculating the output value for a specific input value.

Front

What is the output of the function f(x) = 2x^2 + 5x - 17 when x = -1?

Back

The output is f(-1) = -10.