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 find the output value for a given input by substituting the input into the function's equation.

Front

If g(x) = 11 - x, what is g(4)?

Back

g(4) = 11 - 4 = 7.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

If f(x) = x + 3, what is f(-5)?

Back

f(-5) = -5 + 3 = -2.

Front

What is the formula for a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax² + bx + c, where a, b, and c are constants.

Front

If f(x) = 3x² - 11, what is f(-5)?

Back

f(-5) = 3(-5)² - 11 = 3(25) - 11 = 75 - 11 = 64.

Front

How do you find the value of x when y = x + 5 and y = 10?

Back

Set the equation: 10 = x + 5. Solve for x: x = 10 - 5 = 5.

Front

What is the output of a function when the input is zero?

Back

The output of a function when the input is zero is found by substituting 0 into the function's equation.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.