Functions Review

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

Is the relation {(1,2), (2,3), (1,4)} a function? Why?

Back

No, because the input 1 has two outputs (2 and 4).

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

Evaluate f(2) for the function f(x) = 2x + 3.

Back

f(2) = 2(2) + 3 = 7.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

If f(x) = x^2, what is f(-3)?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Is the relation {(1,2), (2,3), (3,4)} a function? Why?

Back

Yes, because each input has exactly one output.

Front

Evaluate f(0) for the function f(x) = 3x^2 - 5.

Back

f(0) = 3(0)^2 - 5 = -5.