(a) Find f(3). Select the correct choice below, and fill in the answer box if necessary. A. f(3)=5 (Type an integer or a fraction.) B. The value of f(3) is undefined. (b) Find lim f(x). Select the correct choice below, and fill in the answer box if necessary. x-3 A. lim f(x)= X-3¯ (Type an integer or a fraction.) B. The limit does not exist because f(x) is not defined for all x <3. Ay 8- 7 6- 5- 4 3- 2 -2-1 1 2 N- 1 -2- -3 Х 4 67- 5 6 7

The function P gives profit as a function of price in dollars. Write the meaning for each of the following expressions within this context. а) P(10) — Р(6) b) P(x+4)-P(x) c) lim-0 P(7.7+h)-P(7.7) h

For the function f graphed below, find each of the following. y 4 1 2 4 -1 -8 -6 -4 -2 6. -2 -3 -4 (a) limf (x) = x→4 ? Edit (b) limf (x) = x→4* Edit 3.

3. Give the function, f(x)=x²+5x-24 Find f(0) a. orlt novia noitonut ors b. Find f(-1) c. Find f(-3) 4. Explain what the benefit is of using function notation to evaluate for inputs and outputs of functions.

For the function f graphed below, find each of the following. 2 2 4 6 8 -1 -8 -6 -4 -2 -2 -3 -4 (a) limf (x) = ? Edit (b) limf (x) = ? Edit (c) limf (x) = ? Edit (d) f (4) =

3x2 - 5x + 2 9. Consider the function H(x) to answer the following. x2 – 1 A. Is the value of H(3) = lim H(x) ? Justify your reasoning. x-3

x² -2cx+c2 6. Find lim X-C

The circumference C of a circle is a function of its radius given by C (r) = 2xr. a. Express the radius of a circle as a function of its circumference. Call this function r (C). Enter the exact answer. Enclose numerators and denominators in parentheses. For example, (a – b)/ (1+ n). r (C) = b. Find r (287) and interpret its meaning. т (28т) Number The radius of a circle with a circumference of 287 is r (28T). The radius of a circle with a circumference of r (28T) is 287.

Explain why the function is discontinuous at the given number a. (Select all that apply.) (x) = a = -4 x + lim (x) and lim (x) exist, but are not equal. X--4 O lim (x) does not exist. xー-4 D(-4) and lim (x) exist, but are not equal. x→ー4 O r-4) is undefined. O none of the above Sketch the graph of the function. 2

A woman's shoe that is size x in country A is size s(x) in country B, where s(x) = x- 12. A woman's shoe that is size x in country B is size p(x) in country C, where p(x) =x - 1.8. Find a function that will convert country A shoe size to country C shoe size. The expression for the function is (Use integers or decimals for any numbers in the expression.)