Benchmark Review

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

Select all the graphs which show even degree functions.

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What is the sign of the leading coefficient of the polynomial function whose graph appears below?

• positive

• negative

Which graph has a negative leading coefficient?

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North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the population of North Dakota was 700,000 people. North Dakota’s population has been growing by 5% per year. Express North Dakota’s population, N, in terms of years since 2013, t.

Check the BEST answer:

• N=700,000(1.05)t

• N=700,000(1.5)t

• N=700,000(1-0.05)^t

• N=700,000(0.95)^t

An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of freshener, Q, that remains, t, days after it has begun being used.

Check the BEST answer: (HINT: that means simplify what is in the parenthesis)

• Q=30(1+0.12)^t

• Q=30(1-0.12)^t

• Q=30(0.88)^t

• Q=12(1.30)^t

P = 8(1.23)^t

What is the initial quantity?

P = 8(1.23)^t

Is the function growth or decay?

Check the box:

• Growth

• Decay

Q = 3.1(0.78)^t

What is the initial quantity?

Q = 3.1(0.78)^t

What is the DECAY rate?

Write as a percent!

CAREFUL!!!