Exploring Discrete and Continuous Concepts

What is the domain in a function?

• The set of all possible y-values

• The set of all possible input values

• The set of all possible z-values

• The set of all possible output values

In the equation c(x) = 4x + 1, what does 'x' represent?

• The y-value

• The protection plan cost

• The number of cell phone cases

• The total cost

What is the output in the function c(x) = 4x + 1?

• The total cost

• The protection plan cost

• The x-value

• The number of cell phone cases

Why is the function for cell phone cases considered discrete?

• Because it can be graphed as a curve

• Because it consists of distinct, separate points

• Because it forms a continuous line

• Because it includes fractions and decimals

What does a discrete graph indicate?

• Every point on the line has meaning

• The graph forms a continuous line

• The graph consists of distinct, separate points

• The graph includes fractions and decimals

In the height example, what does H(x) represent?

• The input

• The x-value

• The height

• The age

In the height function, what does the x-value represent?

• The y-value

• The age

• The total height

• The height

Why is the height function considered continuous?

• Because it forms a series of distinct points

• Because it includes fractions and decimals

• Because it includes only whole numbers

• Because it cannot be graphed

What is the range in the height function example?

• The set of all possible ages

• The set of all possible heights

• The set of all possible z-values

• The set of all possible x-values

What does a continuous graph indicate?

• The graph cannot be connected

• Only whole numbers are included

• Every point on the line has meaning

• The graph consists of separate points