Exploring Continuous and Discrete Functions

What is a continuous function?

• A function with gaps

• A function that is a solid line all the way through

• A function that is not defined for all real numbers

• A function that only exists at distinct points

Which of the following is NOT an example of a continuous function?

• Parabola

• Exponential relationship

• Arithmetic sequence

• Linear relationship

What is the domain of a linear continuous function?

• The set of all integers

• The set of all real numbers

• The set of all negative numbers

• The set of all positive numbers

In an exponential continuous function with an asymptote at y = -5, what is the range?

• The set of all real numbers less than -5

• The set of all integers

• The set of all real numbers greater than -5

• The set of all real numbers

What is a discrete function?

• A function that is a solid line all the way through

• A function that is defined for all real numbers

• A function that only exists at distinct and separate values

• A function with no gaps

Which of the following is an example of a discrete function?

• Linear relationship

• Exponential relationship

• Parabola

• Geometric sequence

What is the domain of a discrete function with points at -6, -4, -2, 0, 2, and 4?

• The set of specific points: -6, -4, -2, 0, 2, 4

• The set of all real numbers

• The set of all integers

• The set of all positive numbers

In a discrete function, if the domain is the set of all integers between -2 and 4, what is the range?

• The set of all positive numbers

• The set of all real numbers

• The set of all negative numbers

• The set of all integers between 1 and 6

How can the domain of a discrete function be written if it includes all integers between -2 and 4?

• X is the set of all real numbers

• X is the set of all negative numbers

• X is the set of all integers such that X is between -2 and 4

• X is the set of all positive numbers

What is the special way to write the range of a discrete function if it includes all integers between 1 and 6?

• Y is the set of all negative numbers

• Y is the set of all positive numbers

• Y is the set of all integers such that Y is between 1 and 6

• Y is the set of all real numbers