The function f(x) is shown on the graph. ာ 2 3 2 f(x) 1 0 -1 -2 1 -3 -4 -5 2 3 4t Which type of function describes f(x)? Exponential O Logarithmic O Polynomial ○ Rational
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- -5 (0, -2) -5 -5 (1, –6) -5 -10- graph of f(x) 2. A graph of an exponential function f(x) is given above. a. Write a function formula that could possibly be the formula for f(x). b. On either the original axes or the second set of axes above, sketch the graph of f-'(x). c. Using the fx) formula you wrote in part a, find a function formula for f'(x).use interval notationf(x)= ln [(x2+x-1)1/2] Find the interval where f is one-to-one. Find the inverse f-1 of f on the interval found. Show all the steps.
- The graph of the function h(?) = -Log2x - 3 can be sketched from the graph of The function h(?) = Log2x. Explain the transformations that must be made to the graph of graph of f(x) to obtain the graph of g(x).f(x)=log2(x2+3x+2) The asymptote(s) of the function isUse a graphing utility to graph f(x) = x3 − 3x2 . Use the graph to write a formula for the function g shown in the figure
- (a) Draw the exponential function: y = 3x Also identify the asymptote to this function in your figure. (b) Apply translations to the graph of part (a) to draw the function f(x) 3x - 2. = Include the horizontal asymptote of f(x) in your figure. (c) State the domain and the range of f(x). Give the answer in the interval notation.(b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation ofthe graph of y = log x(c) Explain how the function f(x) = log2(x + 3) can be graphed by using transformations ofthe graph y = log x
