24 Jul Algebra Homework
I have completed this assignment myself; working independently and not consulting anyone except the instructor.
Write your name here:
Multiple-choice: Select the correct answer and write it in the space provided. Do not show work; write only one of the letters A, B, C, or D.
A. x = e15
B. x15 = 10
C. x = 1510
D. x = 1015
07. (4 pts) Convert to a logarithmic form: 49 = 7x. Ans: _____
A. logs = r
B. logr = s
C. lnr = s
D. lns = r
(b) State the Domain of g(x)
(a) f(x) = x2-1 one-to-one Yes ____, No ____
(b) f(x) = x3 one-to-one Yes ____, No ____
(c) f(x) =|x-1| one-to-one Yes ____, No ____
(b) (6 pts) Find f-1, the inverse function of f. (Show work)
(c) Give the Domain and Range of f-1.
A. Shift the graph of y = ex to the left by 1 unit and up by 2 units.
B. Shift the graph of y = ex to the right by 1 unit and up by 2 units.
C. Reflect the graph of y = ex across the x-axis and shift up by 2 units.
D. Reflect the graph of y = ex across the y-axis and shift up by 2 units.
(b) What is the domain of f ?
(c) What is the range of f ?
(d) What is the horizontal asymptote?
(e) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).
(f) Draw the graph of f, using a graphing utility.
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