Download Final Exam Review: Algebra 2

Final Exam Review: Algebra 2
Solve the system.
1.
Find the sum or difference.
2.
3.
4.
5.
6.
7.
8. Make a table of values. Graph the function
Graph the function and its parent function. Then describe the transformation.
9.
10.
Describe the transformation of
represented by g. Then graph each function.
11.
Find the minimum or maximum value of the function. Describe the domain and range of the function,
and where the function is increasing and decreasing.
12.
Graph the function. Label the vertex and axis of symmetry.
13.
Mrs. Cabrales
Graph the function. Label the x-intercept(s), vertex, and axis of symmetry.
14.
Graph the rational function. State the domain and range.
15.
16.
17. Graph
Solve the equation.
18.
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20.
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22.
23
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30.
31.
32.
33.
Mrs. Cabrales
Write an equation of the parabola in intercept form.
34.
Find the zero(s) of the function.
35.
Perform the operation. Write the answer in standard form.
36.
37.
Decide whether the function is a polynomial function. If so, write it in standard form and state its
degree, type, and leading coefficient.
38.
Evaluate the function for the given value of x.
;
39.
Describe the end behavior of the graph of the function.
40.
Simplify the expression.
41.
Mrs. Cabrales
Find the product.
42.
43.
44.
45.
46.
Find the quotient.
47.
48.
Divide using polynomial long division.
49.
Use synthetic division to evaluate the function for the indicated value of x.
50.
;
Factor the polynomial completely.
51.
52.
Find all real solutions of the equation.
53.
Find all real zeros of the function.
54.
Mrs. Cabrales
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros.
55.
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1,
and the given zeros.
56.
Sketch a graph of the polynomial function f having the given characteristics. Use the graph to describe
the degree and leading coefficient of the function f.
57. • f is decreasing when
•
when
and
; f is increasing when
;
when
and
and
.
.
58. Find the indicated real nth root(s) of a.
,
Evaluate the expression without using a calculator.
59.
Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate.
60.
Write the expression in simplest form.
61.
62.
63.
Determine whether the inverse of f is a function. Then find the inverse.
64.
Determine whether the functions are inverses.
65.
,
Mrs. Cabrales
Rewrite the equation in logarithmic form.
66.
Evaluate the logarithm.
67.
68. Use
and
to evaluate
.
Expand the logarithmic expression.
69.
Condense the logarithmic expression.
70.
71. Use the change-of-base formula to evaluate
.
Simplify.
72.
73.
74.
75. Evaluate:
Mrs. Cabrales
Mrs. Cabrales