Functions Situations

Which table best matches the description:

Hutches are fenced enclosures for raising rabbits. You have 20 feet of fencing to make hutches.

x is the width of the rectangular area in feet

y is the total ground area of enclosure in square feet.

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Which table best matches the description:

For each "shoot" a photographer charges a fixed fee for expenses, then a fixed amount for each hour or part of an hour.

x is the time a "shoot" takes in hours

y is the total amount the photographer charges

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How much will the photographer charge for a 4.5-hour "shoot"?

x is the time a "shoot" takes in hours

y is the total amount the photographer charges

If the photographer charged $400, how many hours long was the shoot?

x is the time a "shoot" takes in hours

y is the total amount the photographer charges

• A

• B

• C

• D

Answer explanation

To find g(x) - h(x), we need to subtract the functions. If g(x) = 3x and h(x) = 8, then g(x) - h(x) = 3x - 8, which matches the correct answer choice.

Tags

CCSS.HSF.BF.A.1.b

Which statement is true about this graph?

• This function is always constant

• This function is always increasing

• This function is never increasing

• This function is both increasing and decreasing

Find f(x) - g(x)

• x² - 7x + 2

• -x² + 7x + 2

• -x² - 7x + 2

• -x² - 7x + 4

Akiko is painting a room in her house. The graph shows the area Akiko has painted as a function of time. Which description is correct?

• For the first 2 hours, Akiko paints very quickly at first, but then slows down

• For 2 < x < 3, Akiko paints at a constant rate

• For 3 < x < 4, Akiko continues painting at a varying rate

• For the last 2 hours, Akiko paints at a constant rate, but much more slowly than earlier in the day

Arrange the qualitative description of the function.

• I, II, III

• I, II, IV

• II, I, III

• II, I, IV