Evaluate Piecewise Functions and Graph Algebra

Select the graph for 5x+ y ≤  -1 .

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Select the correct graph for each inequality. y≤ -¾x -1

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Evaluate the above piecewise function at x = -4 and x = 4

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Write a Piecewise Function that represents the above graph:

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Graph the above piecewise function

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There is a drip coming from the ceiling. Daniel puts a bucket under it to catch the water. The water drips for a period of 18 hours. The drip drops water at rate of 3 ounce per hour for the first 6 hours, at a rate of 2 ounces per hour for the next 10 hours, and at a rate of 1 ounces per hour over the last 2 hours. Write a piecewise function and sketch the graph that matches the accumulation.

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Graph:

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Graph:

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Write a piecewise function for the following:

The Farmer’s Market is having a sale on hot boiled peanuts. If you buy 1 pint or less of peanuts, you pay $3.50 per pint. If you buy more than 1 pint but no more than 3 pints, you pay $3.15 per pint. If you buy more than 3 pints of hot boiled peanuts, you pay $2.75 per pint. Write the piecewise function that represents the price you will pay when you purchase the hot boiled peanuts.

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Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4