# Math 12328019 winter 18 final i herschkorn 4 4 points

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Math 123/28019, Winter 18, Final-I, Herschkorn 4. (4 points) On the board is a graph of y = | x |. Please use this to sketch a graph of y = 1 - | x – 2|. Be sure to label all intercepts. 5. (3 points) What is the domain of the function 2 1 3 ) ( x x x k ? 6. (3 points) What is the value of log 3 (1/9)? 7. (9 points) p ( x ) = 2ln( x + 4). a) (3 points) What is the domain of p ? b) (2 points) What is the range of p ? (Question 7 continues on the next page.) EXAM CONTINUES ON THE NEXT PAGE

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Math 123/28019, Final-I, Winter 18, Herschkorn 7. (continued) p ( x ) = 2ln( x + 4) c) (4 points) Sketch a plot of y = p ( x ). Be sure to label all intercepts, vertices and asymptotes, if they exist. Please label at least one other point on the curve. 8. (3 points) q ( x ) = 2 – e 4 x . What are the domain and range of q ? 9. (3 points) If log 4 x = 3, then what is the value of x ? EXAM CONTINUES ON THE REVERSE
Math 123/28019, Winter 18, Final-I, Herschkorn 10. (10 points) h ( x ) = x ² – 6 x + 4. a) (1 point) What is the domain of h ? b) (3 points) What is the range of h ? c) (2 points) Determine h ( x + 2), simplified. d) (4 points) Sketch a graph of y = h ( x ). Be sure to label points or axes such all intercepts, vertices and asymptotes, if any of these exist, are identified. END OF PART I
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