Graphing Functions: Exploring Domain and Range

What is the domain of a function?

• The output values

• The input values

• The ordered pairs

• The range values

What is the range of a function?

• The domain values

• The output values

• The X values

• The input values

What is the first step in graphing the function X + 3Y = 15?

• Plugging in domain values

• Solving for Y

• Setting up a chart

• Finding ordered pairs

Why were the domain values 0, 3, 6, 9 chosen for the function X + 3Y = 15?

• They are multiples of 3

• They are easy to calculate

• All of the above

• They avoid fractions

Why do we not connect the points on the graph when the domain is 0, 3, 6, 9?

• The range values are not continuous

• The domain values are not continuous

• The function is not linear

• The points are not in a straight line

How would the graph change if the domain included all numbers between 0 and 9?

• It would be a straight line segment

• It would be a curved line

• It would be a series of points

• It would not change

What shape does the graph of y = x^2 form?

• A parabola

• A circle

• A straight line

• A hyperbola

What does it mean when a function's domain is all real numbers?

• The graph extends infinitely in both directions

• The graph is a parabola

• The graph is a line segment

• The graph is a series of points

What is the result of squaring a negative number?

• Zero

• An imaginary number

• A positive number

• A negative number

What does the negative sign outside the squared term in y = -x^2 indicate?

• The graph is a circle

• The parabola opens upwards

• The parabola opens downwards

• The graph is a straight line