Evaluating functions 2

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 f(x) represent in a function?

Back

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

Front

How do you evaluate a function at a specific value?

Back

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

Front

What is the value of f(x) = 2x + 2 when x = 0?

Back

f(0) = 2(0) + 2 = 2.

Front

What is the value of f(t) = 4t - t^2 when t = 3?

Back

f(3) = 4(3) - (3)^2 = 12 - 9 = 3.

Front

What is the value of f(x) = 5x - 3 when x = 2?

Back

f(2) = 5(2) - 3 = 10 - 3 = 7.

Front

What is the value of f(x) = 3x^2 - 4x + 1 when x = 2?

Back

f(2) = 3(2)^2 - 4(2) + 1 = 12 - 8 + 1 = 5.

Front

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

Back

f(-1) = 2(-1)^2 + 5(-1) - 17 = 2 - 5 - 17 = -20.

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

What does the term 'evaluate' mean in mathematics?

Back

To evaluate means to calculate the value of a mathematical expression.