WARM-UP 5.1 Understanding Linear Functions

What is a linear function? Please see 5.1, Explore #1 in your book. (Select all that apply.)

• A non-vertical straight line.

• A function with a constant change between consecutive x-terms.

• A function with a constant change between consecutive y-terms.

• A function that does not have a constant change in x, and that does not correspond to a constant change in y.

Consider the graph found in 5.1 Explore #2 in your book. Select all true statements.

• The intervals between x-values are equal.

• The intervals between y-values are equal.

• The table is of a function.

• The table is of a linear function.

What is the STANDARD form of a linear equation? See 5.1 Explain #1 in your book.

• Ax + By = C where A, B, and C are real numbers and A and B are not both 0.

• y = mx + b where m is a slope, b is a constant term, and m and b are real numbers.

Consider the table found in 5.1 Example #2, Problem A in your book. Select all that are true.

• The domain of this table is (0, 2, 4, 6, 8 ...)

• The range of this table is (0, 2, 4, 6, 8 ...)

• Based on the context of problem A, this is a discrete function.

• Based on the context of problem A, this is a continuous function

• 

Consider the table found in 5.1 Example #2, problem B in your book. Select all that are true.

• The domain of this table is (0, 1, 2, 3, 4 ...)

• The range of this table is (0, 1, 2, 3, 4 ...)

• Based on the context of problem B, this is a discrete function.

• Based on the context of problem B, this is a continuous function

• 

Elsa rents a booth in her grandfather's mall to open an ice cream stand. She pays $1 to her grandfather for each hour of operation. The amount Elsa pays each hour is given by f(x) = x, where x is the number of hours her booth is open. (See 5.1 Example 2 Problem B) Select all answers that apply.

• Based on the context of problem B, the range could include negative numbers.

• Based on the context of problem B, the domain could only include positive numbers.

• The points on the graph are connected with a line because it is the correct way to graph a line.

• The points on the graph are connected with a line because fractional parts of hours are possible so the graph is continuous.

What does a solution of a linear equation in two variables look like?

• An ordered pair that makes the equation true.

• Y will equal x plus a value that represents the y-intercept.

• y = ___ and x = ___