Equations as Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Given y = -x^2 + 3x, find the output if the input is 5.

Back

-10

Front

If y = 5 - 6x, find y when x = -5.

Back

35

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

No, because the x-value 11 has two y-values paired with it.

Front

If y = 4x + 5, what does y equal when x is 4?

Back

21

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What is a quadratic function?

Back

A function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.