algebra 2 exam

If f(x) is an odd function, which statement about the graph of f(x) must be true?

It has rotational symmetry about the origin.

Which statement best describes the effect on the graph of y = (x - 9)^2 if the equation is changed to y = (x + 9)^2?

The graph moves left 18 units.

The function that represents the average cost per person, including transportation, to a museum is y=25+8x/x. Which statement is true about the graph of the function?

The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people increases.

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

5x3 + 9x2 + 15x + 27

Based on the type of equations in the system, what is the greatest possible number of solutions?

2

What is the completely factored form of 8x^2 - 50?

2(2x + 5)(2x + 5)

What is the value of 5^3i^9?

125i

Which polynomial is factored completely?

x = 3

What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Over c (c minus 3) EndFraction?

all real numbers, except c ¹ 0 and c ¹ 3

If a polynomial function f(x) has roots and -6, what must be a factor of f(x)?

b

Which expression is equivalent to -8?

b

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = (x^3 - 3x + 1)^2

6 roots

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

7/4

Which value must be added to the expression x^2 - 3x to make it a perfect-square trinomial?

9/4

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

5 units up

Which expression is equivalent to StartFraction 4 a + 4 Over 2 a EndFraction times StartFraction a squared Over a + 1 EndFraction?

2a

The polynomial equation has complex roots x^3+x^2=-9x-9. What is the other root? Use a graphing calculator and a system of equations.

-1

Sandra graphed the system of equations that can be used to solve x cubed minus 2 x squared minus 11 x + 12 = x cubed minus 13 x minus 12. What are the roots of the polynomial equation?

-3, 4

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10?

-3/4

What is the value of (-3 + 3i) + (-2 + 3i)?

-5 + 6i

How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin? Round the answer to the nearest hundredth if necessary.

1.14 liters

What is the third term in the binomial expansion of (3x + y3)4?

18x2y6

The graph below shows the function f(x)=x-3/x^2-2x-3. Which statement is true?

There is a hole at x = 3 and an asymptote at x = -1.

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

a

Juan jogs each day from his house to a local park, and then he jogs back along the same route. On his way to the park, he averages 4 miles per hour. On his way home, he averages 6 miles per hour. If the total trip takes 1 and one-half hours, which equation can be used to find x, the distance in miles from Juan's house to the park?

b maybe

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

c

If f(x) = -x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

d

What is the difference? x + 5/x + 2-x + 1/x^2+ 2 x

d33

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?

n/a

Which of the following gives all of the sets that contain root 9?

the set of all integers, the set of all rational numbers, and the set of all real numbers

What substitution should be used to rewrite x^8 - 3x^4 + 2 = 0 as a quadratic equation?

u = x^4

One root of mc019-1.jpg is x = -10. What are all the roots of the function? Use the Remainder Theorem.

x = -10, x = -5, or x = 5

The quotient of (x4 - 3x2 + 4x - 3) and a polynomial is (x2 + x - 3). What is the polynomial?

x2 - x + 1

What is the binomial expansion of (x + 2y)^7?

x^7 + 14x6^y + 84x5y^2 + 280x4y^3 + 560x3y^4 + 672x2y^5 + 448xy^6 + 128y^7