Finding Values on Function Graphs

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you identify a function from a graph?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What does it mean when y=0 on a graph?

Back

It means that the point lies on the x-axis, and the corresponding x-values are the roots or x-intercepts of the function.

Front

What is the significance of t=0 in a function?

Back

t=0 often represents the starting point or initial condition of a function, such as the initial value of a variable.

Front

How do you find the value of y for a given x in a function?

Back

To find y for a given x, substitute the x-value into the function's equation and solve for y.

Front

What does it mean for a graph to have multiple outputs for a single input?

Back

If a graph has multiple outputs for a single input, it is not a function because each input must correspond to exactly one output.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, meaning y=0.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, meaning x=0.

Front

How do you determine the x-values where y=0?

Back

To find the x-values where y=0, set the function equal to zero and solve for x.

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.