*The following problems were taken from the*

**ALGEBRA II (Common Core)**Regents Exam given on Friday, January 27, 2017.Previous problems can be found here

### Part 1

**19. Which statement regarding the graphs of the functions below is untrue?
**

*f(x) = 3 sin 2x, from -π < x < π*

h(x) = log

g(x) = (x - 0.5)(x + 4)(x - 2)

j(x) = -|4x - 2| + 3 (1)h(x) = log

_{2}xg(x) = (x - 0.5)(x + 4)(x - 2)

j(x) = -|4x - 2| + 3 (1)

(2) *f(x), h(x), and j(x) have one y-intercept.*

All four are functions, so they have *at most* one y-intercept. However, the *log* function has a domain of positive numbers, x > 0, so it will not have a y-intercept.

**20. When g(x) is divided by x + 4, the remainder is 0. Given g(x) = x^{4} + 3x^{3} - 6x^{2} - 6x + 8, which conclusion about g(x) is true?
(1
**

(2) *g(-4) = 0*

The polynomial can be divided by x + 4 without a remainder, meaning (x + 4) is a factor. This makes -4 a zero of the function.

Continue to the next problems

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