Review of Function Notation and Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

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 does f(x) = -2 mean?

Back

It means that the output of the function f for a specific input x is -2.

Front

If f(x) = x^2 - 8, what is f(2)?

Back

f(2) = 2^2 - 8 = 4 - 8 = -4.

Front

What is the difference between f(2) and f(3) if f(x) = x^2 - 8?

Back

f(2) - f(3) = (-4) - (1) = -5.

Front

What is the output of h(e) = 5^(e+3) when e = 11?

Back

h(11) = 5^(11+3) = 5^14 = 6103515634.

Front

How can you express the point where f(2) = 4?

Back

You can express it as the ordered pair (2, 4).

Front

What is the significance of the ordered pair (x, f(x))?

Back

The ordered pair (x, f(x)) represents a point on the graph of the function, where 'x' is the input and 'f(x)' is the output.

Front

What does it mean if a function is evaluated at a negative number?

Back

Evaluating a function at a negative number means substituting that negative value into the function's equation.

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.