Solutionsto Review 7.6, 7.7 and 8.1PH Algebra 2 :Solutionsto Review 7.6, 7.7 and 8.1PH Algebra 2


#1 a–b :#1 a–b 1. Let f(x) = -3x–6 and g(x)=x–2. Perform each function operation.


#1 c–d :#1 c–d 1. Let f(x) = -3x–6 and g(x)=x–2. Perform each function operation.


#1 e–f :#1 e–f 1. Let f(x) = -3x–6 and g(x)=x–2. Perform each function operation.


#2a :#2a 2. Let f(x)=4+5x and g(x)=2x-1. Evaluate each expression.


#2b :#2b 2. Let f(x)=4+5x and g(x)=2x-1. Evaluate each expression.


#2c :#2c 2. Let f(x)=4+5x and g(x)=2x-1. Evaluate each expression.


#2d :#2d 2. Let f(x)=4+5x and g(x)=2x-1. Evaluate each expression.


#3a :#3a 3. Let f(x)=x2+5 g(x)= . Evaluate each expression.


#3b :#3b 3. Let f(x)=x2+5 g(x)= . Evaluate each expression.


#3c :#3c 3. Let f(x)=x2+5 g(x)= . Evaluate each expression.


#3d :#3d 3. Let f(x)=x2+5 g(x)= . Evaluate each expression.


#4 :#4 4. Graph the relation and its inverse. Use circles to graph the points of the relation and x’s to graph points of the inverse. x x x x


#5a :#5a 5. Consider the relation s given by the values in the table. a. Find the inverse of relation s.


#5b :#5b 5. Consider the relation s given by the values in the table. b. Graph s and its inverse.


#5c :#5c 5. Consider the relation s given by the values in the table. c. Describe the relationship between the line y=x and the graph of s and its inverse. “The graph of s and its inverse are reflections with the line y=x as the line of symmetry.” y=x


#5d :#5d 5. Consider the relation s given by the values in the table. d. Is the relation s a function? How do you know? “YES. Every ‘x’ is paired with only a single output ‘y’. The function passes the Vertical Line Test for functions.” y=x


#5e :#5e 5. Consider the relation s given by the values in the table. e. Is the inverse of s a function? How do you know? “YES. Every ‘x’ is paired with only a single output ‘y’. The function passes the Vertical Line Test for functions.” y=x


#6 :#6 6. Find the inverse of y=3x2–4


#7 :#7 7. For the function f(x)=(6-4x)2, find f -1


#8 :#8 8. Graph the exponential function y=3x. Make a table of values and find points on the graph.


#9 :#9 9. Graph the function y=4(1/2)x. Make a table of values to find points on the graph. Identify the horizontal asymptote. The horizontal asymptote is y=0


#10 :#10 10. Write an exponential function y=abx for a graph that includes (0,6) and (1,15).


#11–14 :#11–14 Without graphing, determine whether each function represents exponential growth or exponential decay.


#15–16 :#15–16 Find the annual percent increase or decrease for each model.


Slide 26:Study diligently for this test. I want you to get the best possible grade! –Mr. Petersen :o)