Question
need help with problems k-o thanks in advance
k) If y=x then y = 1 for x 0. 8 if x>6 m) let,f(x) = x2 0srs9 If'f(x) = 9 then x = 3. -x if x>9 n) o) If a function is concave down, it must be decreasing. For any function, we have f(x + h)-f(x) +h 2. ketch two graphs: one that represents a function and at does not r Find the avert a) (1, 2) and (2, b) x -2 and x : 2 c) x, f(x)) and (xth,h)) 3. rate ofchange of/(x)-/between the points 4. A café sells coffee for $0.85. On average, it costs the cal e $0.25 to é S0.25 to coffee. The café also has-red dA% cost ofS175 a) Let R, C, and P be e café's daily eue, costs, and profit, respectivel cups of coffe ih a day. Find formulasER, C, and p as a function of [Hint: Revuc is the total amount of money that the cafe brings in. Cost fixed dai, cost as well as the cost for all cups coffee sold. Profit is t between revenue and costs.J b) Plot P against x. For what.x-value is the graph of F axis? Interpret your results and y-intercept of your graph from b) The point (4, 7) is on the graph of y). Give the coordinates of one point graph of each of the following functions a) y=f(x-5) c) Interpret the slope y-inte
Explanation / Answer
k) False. Let x = -3. So, y = -3 / |-3|. So, y = -3/3 = -1.
l) False. f(-1) = 3(-1)^2 = 3
m) True. If x=3, then f(3) = (3)^2 = 9.
n) False. It first increases, then decreases.
o) False. f(x+h) and f(x)+h are not same.
