Understanding Functions and Variables

The video tutorial covers function rules, specifically f(x) = 9x - 7, and demonstrates how to plug values into the function to simplify and solve for x. It also explains identifying independent and dependent variables, writing algebraic rules, and calculating costs in real-world scenarios like pizza orders and taxi fares.

What is the result of f(x) when x = 4 for the function f(x) = 9x - 7?

• 32

• 29

• 36

• 25

If f(x) = 9x - 7, what is f(-2)?

• -25

• -7

• -29

• -18

What does f(x) represent in the function f(x) = 9x - 7?

• The slope

• The input value

• The output value

• The y-intercept

How do you solve for x when f(x) = 65 in the equation f(x) = 9x - 7?

• Add 7, then divide by 9

• Subtract 7, then multiply by 9

• Multiply by 9, then add 7

• Divide by 9, then subtract 7

What is the value of x when f(x) = 65 for the function f(x) = 9x - 7?

• 10

• 9

• 8

• 7

In a function, what is typically the independent variable?

• The constant

• The input

• The coefficient

• The output

What is the dependent variable in a function?

• The input

• The coefficient

• The output

• The constant

What is the algebraic rule for the number of cases C and bottles of water B if B = 24C?

• B = 24 + C

• B = 24C

• B = C + 24

• B = C - 24

What is the cost of ordering 0 pizzas from Tampa Pizza?

• $11

• $7

• $4

• $0

How much does one pizza cost at Tampa Pizza, excluding delivery?

• $11

• $7

• $14

• $4