Alg 1A Test 3B (Function notation & graphs)

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 find the value of a function at a specific point, such as f(1)?

Back

To find f(1), substitute 1 for x in the function's equation.

Front

If f(x) = 2x + 1, what is f(1)?

Back

f(1) = 2(1) + 1 = 3.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

If f(x) = 8 - 3x, what is f(0)?

Back

f(0) = 8 - 3(0) = 8.

Front

What does it mean if a function is undefined at a certain point?

Back

A function is undefined at a certain point if there is no output value for that input, often due to division by zero or taking the square root of a negative number.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What is the difference between open and closed intervals in the context of domain and range?

Back

A closed interval includes its endpoints (e.g., [a, b]), while an open interval does not (e.g., (a, b)).