efined function: Problem type 1 Suppose that the function g is defined as follows. -2 if -2x<-1 if 1sx<0 -1 g (x)= 0 if 0x<1 1 if 1sx<2 Graph the function g. X -5 -2 -2- Check Explanation MacBoo
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Q: In Problem,the graph of a piecewise-defined function is given.Write a definition for each function.
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Q: In Problem,the graph of a function is given.Use the graph to find: (a) The intercepts,if any (b) The…
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- 13.7 f(x)=-(x^4)-(2x^3)-(9x^2)-6x Use analyticsl and graphical methods to show that the function has a maximum for some value of x in the range -2 is less than or equal to x and 1 is greater than or qual to x.Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 2x2(3x) x=_____________ this is a calculus problemA company manufactures microchips. Use the revenue function R(x)=x(74−5x) and the cost function C(x)=120+15x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1≤x≤20. (A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. P(x)= (Type your answer in standard form.) (B) Discuss the relationship between the intersection points of the graphs of R and C and the x intercepts of P. The x-values of the intersection points of R and C are 1-greater compares 2- equal or 3-smaller compared to the x-intercepts of P. C) Find the x intercepts of P to the nearest thousand chips. Find the break-even points to the nearest thousand chips. The x-intercepts of P occur at x= million chips. (Use a comma to separate answers as needed. Round to three decimal places as needed.) Do the x-intercepts of the profit function indicate the…
- Tables of value for the linear function f(x) and for the quadratic function g(x) are given. All maximum or minimum values for g(x) are also included in the table. On which interval are both function decreasing?The graph of a function f is given. The x y-coordinate plane is given. A curve with 2 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the x-axis at x = −1, and ends at the open point (0, −1). The second part is linear, begins at the closed point (0, 2), goes down and right, crosses the x-axis at x = 2, and exits the window in the fourth quadrant. Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. lim x→0 f(x) ≠ f(0) lim x→0+ f(x) ≠ lim x→0− f(x), so lim x→0 f(x) does not exist. The graph has discontinuities at the end points. The graph is continuous on its domain.The function f(x)=2x^3−30x^2+54x+1 has one local minimum and one local maximum. This function has a local minimum at x = ________, with function value _______ and a local maximum at x = _________, with function value __________
- The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is the number of Acrosonic model F loudspeaker systems produced. Find where the function P is increasing and decreasing. 1.) Increasing a.) The profit function P is increasing on(7500,∞) b.) The profit function P is increasing on(7500,0) c.) The profit function P is increasing on (0,7500) d.) The profit function P is increasing on(∞,7500) 2.) Decreasing a.) The profit function P is decreasing on(7500,∞) b.) The profit function P is decreasing on(7500,0) c.) The profit function P is deccreasing on (0,7500) d.) The profit function P is decreasing on(∞,7500)1)Find the value of c so that the domain of f(x) = √c-x^2! will be [-5,5]. 2)Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The graph of a function cannot have symmetry with respect to the x-axis.The function f(x)=-2x^3+39x^2-240x+4 has one local minimum and one local maximum.This function has a local minimum at x = with value and a local maximum at x= with value