The graph of a function f is shown above. What is the value of

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Explanation:

Split the graph into separate regions (see the diagram below)

The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2

The area of the red trapezoid is

A = h*(b1+b2)/2 = 2*(1+2)/2 = 3

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The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.

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The pink triangle has a base of 1 and height of 2

area = base*height/2 = 1*2/2 = 1 square unit

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The green triangle has an area of base*height/2 = 2*2/2 = 2 square units

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For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.

The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.

Therefore,  

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

40% off the regular price is the correct answer.

step-by-step explanation: