HPC 1-1A Graphing Calc Notes

HPC 1-1A Graphing Calc Notes

Solve by regression, 2nd Trace Intersect, 2nd Trace Zero using a graphing calculator.

Multiple Choice

A restaurant sells pizza for the prices in the data table. Calculate the linear regression (or line of best fit) equation of the data.

Stat Edit L1 as X & L2 as Y enter #s given; Stat Calc LinReg #8: y = a + bx

• y = 12 + 1.5x

• y = 1.5 + 12x

• y = - 8 + 0.67x

• y = 0.67 - 8x

Multiple Choice

Based on the table, which function can best be used to model a quadratic function (or quadratic regression)?

Stat Edit L1 L2; Stat Calc QuadReg #5: y = ax² + bx + c

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Multiple Choice

Based on the table, use the quadratic function model to predict the projectile height after 47 seconds.

Stat Edit L1 L2; Stat Calc QuadReg #5: y = ax² + bx + c

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Multiple Choice

In an exponential function, what does the 'a' represent?

• decay rate

• growth rate

• Initial value

• slope

Multiple Choice

What is the exponential function for this table?

Stat Edit L1(Input) L2(Output); Stat Calc ExpReg #0 as 10th menu (need to scroll down): y = a(b)^x

• y=512(1/4)^x

• y=32(4)^x

• y=32(1/4)^x

• y=512(4)^x

Multiple Choice

Solve x + 3 = -2x + 12 using a graphing calculator.

Y₁ = x + 3, Y₂ = - 2x + 12, 2nd Trace Intersect (Move the cursor near the intersection of the 2 functions & press ENTER 3 times)

• x = - 3

• x = 6

• x = 3

• x = 0

• None of these

Multiple Choice

Solve graphically: |4x - 3| = 2 - |x - 1| Use a graphing calculator.

Y₁ = Math Num Abs (4x - 3), Y₂ = 2 - Math Num Abs (x - 1), 2nd Trace Intersect (Move the cursor near the intersection of the 2 functions & press ENTER 3 times)

• x = - 1.4, x = -1.8

• x = 1.4, x = 1.8

• (0.4,1.4)&(1.2,1.8) are the intersections.

• x = 0.4, x = 1.2

• None of these

Multiple Choice

Solve graphically: x+√x = 1 Use a graphing calculator. You can rewrite as x+√x - 1 = 0 & use 2nd Trace Zero since RHS zero.

Y₁ = x+√x - 1, Zoom 6 (Z standard), 2nd Trace Zero (Move the cursor to LHS of Max for Left Bound ENTER & move the cursor to RHS of Max for Right Bound Enter) ENTER 1 more time

• x = - 1

• x = 0.382

• x = - 1

• x = 0.832

• x = 0.238

Multiple Choice

Factor 8x³ + 125. Remember a³ + b³ = (a + b)(a² - ab + b²) or a³ - b³ = (a - b)(a² + ab + b²)

• (2x - 5)(4x² - 10x + 25)

• (2x - 5)(4x² + 10x + 25)

• (2x + 5)(4x² - 10x + 25)

• (2x + 5)(4x² + 10x + 25)

Multiple Choice

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Profit, Revenue, Cost

• Profit = Revenue - Cost

• P(x) = R(x) - C(x)

Multiple Choice

Find the maximum of

f(x) = -x² - 4x + 12

Y₁= -x² - 4x + 12, Zoom 6 (Z standard), 2nd Trace Max (Move the cursor to LHS of Max for Left Bound ENTER & move the cursor to RHS of Max for Right Bound Enter) ENTER 1 more time

• x= - 2

• x = 2

• y = 0

• y = 4

• y = 16

Multiple Choice

What is the first step to solving THIS equation by completing the square?

a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Multiple Choice

What should be added to both sides of the following equation to complete the square?

x² + 12x = 5

• 12

• 6

• 36

• 5

Poll

Did you find this lesson interesting and challenging?

• A) Too hard

• B) Just right

• C) Too easy

Open Ended

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