Determining Functions from Graphs

What is a function in mathematical terms?

• A set of inputs uniquely mapping to an output

• A set of outputs mapping to multiple inputs

• A set of outputs mapping to a single input

• A set of inputs mapping to multiple outputs

In a function, can an input value map to multiple output values?

• No, only if the output values are the same

• Yes, but only in certain cases

• No, never

• Yes, always

What makes up a graph in terms of functions?

• A set of angles

• A set of curves

• A set of coordinate points

• A set of lines

What is the purpose of the vertical line test?

• To find the slope of a line

• To determine if a graph is a function

• To measure the distance between points

• To calculate the area under a curve

If a vertical line crosses a graph more than once, what does it indicate?

• The graph is a straight line

• The graph is not a function

• The graph is a curve

• The graph is a function

In the example where x = -3, how many times does the vertical line cross the graph?

• Twice

• Once

• Three times

• Four times

What does it mean if a vertical line crosses a graph at only one point?

• The graph is a curve

• The graph is a function

• The graph is not a function

• The graph is a straight line

In the example where x = 2, how many y-values does the vertical line intersect?

• Three

• Two

• Four

• One

What does it indicate if a vertical line crosses a graph at two points?

• The graph is a curve

• The graph is not a function

• The graph is a function

• The graph is a straight line

What is the key takeaway from using the vertical line test?

• It determines if a graph is a function

• It calculates the area under a curve

• It helps to find the slope of a line

• It measures the distance between points