This video tutorial covers function notation, explaining how to write equations using it and the roles of dependent and independent variables. It distinguishes between linear and non-linear functions, using graphs to illustrate the differences. Real-life examples, such as babysitting and tutoring, demonstrate the application of function notation. The tutorial also guides viewers in identifying variables and writing equations, graphing them, and solving for unknowns. A comparison of savings plans is used to apply these concepts practically. The video concludes with a summary and homework instructions.

What is the function notation for y if y is dependent on x?

• x = f(y)

• f = y(x)

• x = y(f)

• y = f(x)

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CCSS.HSF.IF.A.2

Which of the following is a linear function?

• y = x^2 + 3

• y = 2^x

• y = 3/x

• y = 2x + 3

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CCSS.8.F.A.3

How do you identify the y-intercept on a graph?

• Look for the highest point on the graph

• Look for where the graph crosses the y-axis

• Look for the lowest point on the graph

• Look for where the graph crosses the x-axis

In the example of Tasha babysitting, what is the independent variable?

• The total number of clients

• The amount of money she earns

• The number of hours she works

• The rate she charges per hour

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CCSS.6.EE.C.9

What does evaluating a function mean?

• Calculating the output for a given input

• Finding the minimum value of the function

• Finding the maximum value of the function

• Determining the slope of the function

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CCSS.HSF.IF.A.2

If a math tutor charges $35 per hour, what is the function notation for the total cost?

• f(x) = 35x

• f(x) = x/35

• f(x) = x + 35

• f(x) = 35 - x

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CCSS.HSF.IF.A.2

How do you solve for x in the equation f(x) = -3x + 1 when f(x) = -20?

• x = -6

• x = 6

• x = -7

• x = 7

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CCSS.HSF.IF.A.2

What is the y-intercept in the equation y = 1/2x - 2?

• 1/2

• -2

• 0

• 2

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CCSS.8.EE.B.6

CCSS.8.F.A.3

In the savings plan comparison, what is the initial amount saved by the friend?

• $150

• $200

• $250

• $300

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which variable is usually represented by x in function notation?

• Independent variable

• Total cost

• Total earnings

• Dependent variable

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1