More Algebra 2 problems.

__June 2017, Part I__

All Questions in Part I are worth 2 credits. No work need be shown. No partial credit.

*1. The graph of the function p(x) is sketched below.
*

Which equation could represent p(x)?

1) p(x) = (x

2) p(x) = x

3) p(x) = (x

4) p(x) = x

Which equation could represent p(x)?

1) p(x) = (x

^{2}− 9)(x − 2)2) p(x) = x

^{3}− 2x^{2}+ 9x + 183) p(x) = (x

^{2}2 + 9)(x − 2)4) p(x) = x

^{3}+ 2x^{2}− 9x − 18

**Answer: 1) p(x) = (x ^{2} − 9)(x − 2)**

The zeroes are -3, 2, and 3, so the factors are (x + 3)(x - 2)(x - 3).

(x + 3)(x - 3) = x

^{2}- 9.

Choice 3 is bad because it has x

^{2}+ 9, which doesn't have zeroes.

Choice 4 is bad because (3)(-2)(-3) = 18, not -18.

*2. What is the solution to 8(2 ^{x + 3}) = 48?
1) x = ln6/ln2 - 3
2) x = 0
3) x = ln48/ln16 - 3
4) x = ln4 - 3
*

**Answer: 1) x = ln6/ln2 - 3**

^{x + 3}) = 48

2

^{x + 3}= 6

(x + 3)ln 2 = ln 6

x + 3 = ln6/ln2

x = ln6/ln2 - 3

*3. Cheap and Fast gas station is conducting a consumer satisfaction survey. Which method of collecting data would most likely lead to a biased sample?
1) interviewing every 5th customer to come
into the station
2) interviewing customers chosen at random
by a computer at the checkout
3) interviewing customers who call an 800
number posted on the customers' receipts
4) interviewing every customer who comes
into the station on a day of the week
chosen at random out of a hat
*

**Answer: 3) interviewing customers who call an 800
number posted on the customers' receipts**

Self-selection introduces bias because those with stronger opinions are more likely to call the number. You would not get a random sample.

Comments and questions welcome.

More Algebra 2 problems.

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