Graphing Linear Functions: Key Concepts and Techniques

What is the learning objective for today's lesson?

• To solve quadratic equations

• To graph a linear function with a given domain or range

• To understand the properties of logarithms

• To learn about polynomial functions

What is the function given in the first example?

• f(x) = 2x + 1

• f(x) = x + 2

• f(x) = x - 2

• f(x) = 2x - 1

What is the domain for the function f(x) = x + 2 in the first example?

• -2 to 3

• -5 to 0

• 0 to 5

• -3 to 2

What is the first point plotted for the function f(x) = x + 2?

• (-3, 1)

• (1, -3)

• (4, 2)

• (2, 4)

Why is the point (-3, 1) represented with a closed circle?

• Because it is an endpoint

• Because it is a midpoint

• Because it is preceded by a bracket

• Because it is followed by a parenthesis

What is the function given in the second example?

• f(x) = 12x + 1

• f(x) = 12x - 1

• f(x) = x + 12

• f(x) = x - 12

What is the range for the function f(x) = 12x - 1 in the second example?

• -3 to 3

• 0 to 5

• -5 to 0

• -2 to 2

What is the first point plotted for the function f(x) = 12x - 1?

• (-4, -3)

• (4, -3)

• (3, 8)

• (-3, 4)

What is the second point plotted for the function f(x) = 12x - 1?

• (-3, 4)

• (4, -3)

• (3, 8)

• (8, 3)

Why are the points (-4, -3) and (8, 3) represented with open circles?

• Because they are preceded by a bracket

• Because they are followed by a parenthesis

• Because they are midpoints

• Because they are endpoints