Solutions to Review 7-6 7-7 and 8-1

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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.