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26 Nov 2018

3. The following graphs show relations defined over the real numbers. Answer the following questions about them (refer to each graph by its label). 10+ 1 [2] [3] (a) List all the graphs which are graphs of functions, if any.

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Casey Durgan
Casey DurganLv2
28 Nov 2018

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5. (a) (5 points) The figure below shows graphs of two exponential functions. Match each of the following two functions to a graph. (1) f(x) = 2* : Graph (I or II) (2) g(x) - 3*: Graph_ (I or II) 7 05 15 2.5 35 45 (b) (15 points) Given f(x), g(x), h(x) below. X 0112T 3T 4 f(x) 10 13 16 19 22 g(x) 4 8 11 9 6 | h(x) 2 3 4.5 6.75 10.125 (1) (5 pts) Determine which function could represent an exponential function. Show your reason. (2) (10 pts) Find the explicit formula for the exponential function.

4. Sketch the graphs of the following functions in (a) through (c). You should explicitly address each of the following aspects in your solution. (1) Is the function even, odd, or neither under reflection about the y axis? (ii) What are the domain and range of the function? (iii) Does the function have any asymptotes (vertical, horizontal, or slant)? (iv) What is the y-intercept? (v) Find all roots (a-intercepts) of the function. If the function has no roots, state this explicitly, along with your reasoning. (vi) Find any global (absolute) extrema (maxima or minima). What is the maximal or minimal value? If there are no global extrema, state so explicitly, along with your reasoning -3+1 = ()4 (2)

4. Sketch the graphs of the following functions in (a) through (c). You should explicitly address each of the following aspects in your solution. (1) Is the function even, odd, or neither under reflection about the y axis? (ii) What are the domain and range of the function? (iii) Does the function have any asymptotes (vertical, horizontal, or slant)? (iv) What is the y-intercept? (v) Find all roots (a-intercepts) of the function. If the function has no roots, state this explicitly, along with your reasoning. (vi) Find any global (absolute) extrema (maxima or minima). What is the maximal or minimal value? If there are no global extrema, state so explicitly, along with your reasoning (a) S() = x4 – 2r2+1

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