Graphing Lines in Traditional Algebra 1

The video tutorial covers graphing linear functions, introducing the transition from traditional y=mx+b notation to function notation f(x). It explains the roles of independent and dependent variables, demonstrates graphing techniques using the new notation, and discusses real-world applications. The tutorial emphasizes understanding function notation for solving equations and graphing, providing examples and practice problems to reinforce learning.

What is the new notation introduced for graphing linear functions?

• f(x) = 2x + 1

• h(x) = x^2 + 1

• g(x) = 3x + 2

• y = mx + b

In the new notation, what does f(x) represent?

• A quadratic equation

• A variable independent of x

• A function of x

• A constant value

If f(x) = 2x + 1, what is f(0)?

• 0

• 3

• 1

• 2

How do you find f(1) if f(x) = 2x + 1?

• Replace x with 0

• Replace x with 1

• Replace x with 2

• Replace x with 3

What is the value of x if f(x) = 11 and f(x) = 2x + 1?

• 4

• 5

• 6

• 7

When graphing f(x) = 2x + 1, what is the y-intercept?

• 0

• 1

• 3

• 2

If f(x) = 3x - 4, what is f(3)?

• 8

• 7

• 5

• 6

What is the value of f(-2) if f(x) = 3x - 4?

• -8

• -4

• -6

• -10

In the function p(u) = 1/4 u^2 - 2u, what does p represent?

• Revenue

• Cost

• Units sold

• Profit

If p(u) = 1/4 u^2 - 2u, what is p(8)?

• 8

• 0

• 16

• 24