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Let F be the function whose graph is shown below. Evaluate each of the following. Note: Input DNE, infinity, and -infinity for does not exist,
Let F be the function whose graph is shown below. Evaluate each of the following. Note: Input DNE, infinity, and -infinity for does not exist, oo, and -oo, respectively. 1. lim F(x)= 2. lim F(x)= 3. lim F(x)= 4. F(-1)= 5. lim F(x)= 110 lim F(x)= -3 1.0 7. lim F(x)= 8. lim F(x)= I-+3 9. F(3)= The graph of y = F(x).Consider the function f(x) = 2-16 (a) Fill in the following table of values for f(). Express results using at least three decimal places, where necessary. C = 3.9 3.99 3.999 3.9999 4.0001 4.001 4.01 4.1 f(a) = (b) Based on your table of values, what would you expect the limit of f() as a approaches 4 to be? Express your answer to the nearest whole number. lim - -16 -4Consider the function f(x) = 5-1 I (a) Fill in the following table of values for f(). Express results using at least three decimal places. C = -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x) =1 (b) Based on your table of values, what would you expect the limit of f() as x approaches zero to be? Express your answer using three decimal places. lim 57 -1 I =\fif a 3 (a) Evaluate each of the following. (i) lim f(x) = (ii) lim f(x) = I-+3+ (iii) f (3) = (b) Is the function f() continuous at c = 3? ? Note: Input DNE, infinity, and -infinity for does not exist, oo, and -oo, respectively
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