For what value(s) of x is the function f(x) NOT continuous? A x = 0 and x = 3 C. x = -3 only Select one: = 4 2x² — 6x B. x = 3 only D. x = 3 and x = 4
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- A rental car company has a special deal on one of the available rentals. Let C be the cost, in dollars, of the rental car as a function of the distance d, in miles, it is driven in one day. A. What would the value C(75) represent in this context? B. Is function Cincreasing or decreasing? What are the units of the slope in this situation? C. Identify any maximum or minimum values of the function. What do they represent in this situation? State any assumptions that you make. D. Would the graph of C have any intercepts? What would they represent in this situation? E. Write a rule for C(d), and sketch a graph of the function.y = (3 - x)6 + 7 apply the function in economic optimization conceptCan you help me find C(x) ?
- Differentiate the following function: y = (10x – 3)? O Y'= 20( x - 3) O Y'= 20(10x+3) O Y'= 20(10x-3) O Y'= 2 (10x-3)Differentiate the function. dy dx y= || 6 X 302.1 Write a well-commented function program for the function x²e¬ª*, using entry-wise operations (such as .* and .*). To get e" use exp(x). Plot the function on [-5,5] using enough points to make the graph smooth. Turn in the program and the graph.
- A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x)= -0.25x +22x³-472.5x² +83,000, where 21 ≤x≤45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on. (Type your answer in interval notation.) The rate of change of sales is decreasing on (Type your answer in interval notation.) The point of diminishing returns is thousand dollars. The maximum rate of change of sales is sales per thousand dollars. (Round to the nearest whole number as needed.) Graph N and N' on the same coordinate system. Choose the correct answer below. OA. Av 110000 0+ 16 N N' 50 Q Q G OB. 110000 Ay 0+ 16 N N' 50 Q Q O C. Ay Q Q MN 110000 04 16 N N' + O D. 50 110000 Ay 0+ 16 N N' X 50 Q GFind the inverse of the given function. f(x) = 5x + 4 .... 11 The inverse of the function is f1 (x) = -X. 5 (Simplify your answer. Use integers or fractions for any numbers in the expression.)Consider the linear spline function f(x) = 1 + x + h1(x, 2) where h1(x,2) = x-2 if x>2 and 0 otherwise. What is the slope of f at the point x=-1?
- 1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det (A). (ii) For what values of x will the matrix be singular? b) Write down the quadratic form that corresponds to the following matrix. 2 4 2 -1 -3 .4 -3 1-2 f(x) is not continuous at x=-1, because: Select one: a. f(-1) does not exist. b. it's not a function. c. limit does not exist. d. limit from left does not exist.Draw a graph of the following function: y= e^x/(1+e^x)