Evaluating and Finding Functions

Front

What is a function?

Back

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

Front

How do you denote a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by the variable in parentheses, e.g., f(x).

Front

What does f(x) = x + 3 represent?

Back

This is a linear function where the output increases by 3 for every unit increase in x.

Front

How do you find the value of x when f(x) = 8 for f(x) = x + 3?

Back

Set the equation x + 3 = 8, then solve for x: x = 8 - 3 = 5.

Front

What is the meaning of f(4) in a function?

Back

f(4) represents the output of the function when the input is 4.

Front

If f(x) = -x + 3x + 1, what is f(4)?

Back

f(4) = -4 + 3(4) + 1 = -4 + 12 + 1 = 9.

Front

How do you read f(x)?

Back

It is read as 'f of x'.

Front

What is the output of f(x) = 1 when x = 2?

Back

The output is f(2) = 1.

Front

What is the significance of the graph of a function?

Back

The graph visually represents the relationship between the input (x) and output (f(x)).

Front

How do you evaluate a function at a specific point?

Back

Substitute the specific value of x into the function's equation and simplify.