CCSS.Math.Content.HSF.IF.B.4

A tank is completely filled with water.  A pump is used to drain the tank.  The amount of water remaining in the tank is given by the equation y=600-25x, where x is the number of minutes since the pump started and y is the volume, in gallons, of water remaining in the tank.  In the equation, what are the meanings of the numbers 25 and 600?

• The number 25 is the number of minutes it will take to drain the tank, which holds 600 gallons of water.
• The number 25 is the rate of increase, in gallons per minute, of the flow from the tank, which holds 600 gallons of water.
• The number 25 is the rate of increase, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
• The number 25 is the rate of decrease, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.

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CCSS.Math.Content.HSF.IF.B.4

What is the range of the graph?

• -15 < y < ∞
• (-∞, ∞)
• (-15, ∞)
• [-15, ∞)

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CCSS.Math.Content.HSF.IF.B.4

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

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CCSS.Math.Content.HSF.IF.B.4

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

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CCSS.Math.Content.HSF.IF.B.4

What is the slope and y-intercept of:
y = -3x + 2?

• Slope = -3,
   y-intercept = 2
• Slope = 2,
   y-intercept = -3
• Slope = 3,
   y-intercept = -2
• Slope = 2,
   y-intercept = -3

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CCSS.Math.Content.HSF.IF.B.4

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

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CCSS.Math.Content.HSF.IF.B.4

Which describes the graph?

• y=√(x+4)+1
• y=√(x-4)-1
• y=√(x+4)-1
• y=√(x-4)+1

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CCSS.Math.Content.HSF.IF.B.4

Which one means the function goes up on the left

• x →-∞, y→∞
• x →-∞, y→-∞

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CCSS.Math.Content.HSF.IF.B.4

Describe an integral

• Area above a curve

• Area below a curve

• Area above a curve minus area below a curve

• All of the above

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CCSS.Math.Content.HSF.IF.B.4

The equation  $y\sim1.40t\ +1.90$   represents the cost of a hamburger with t  toppings. What does the y-intercept mean in this context?

• A hamburger with 0 toppings costs $1.90

• Every hamburger costs $1.90

• A hamburger with 1.40 toppings costs $1.90

• Every topping adds $1.40 to the cost of the hamburger

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CCSS.Math.Content.HSF.IF.B.4