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CalculusQ&A Libraryaxes.** Sketch the graph of the following functions. State x- and y-intercepts, max/minpoints (if any). vertical/horizontal asymptotes (if any).a) f(x) = (x-1).b) g(x)=-Vx+2,c) h(x)=|x|-3,d) k(x) = 2.e) (x)= In x+ 2,n m(x) = sin(2x),g)n(x) = tan(x)5. Solve the following equationsa) 2**7 = 8,b) 3 =5c) In(2x+1)= 2d) log(x)+2= log(x-1)e) sin(x) =, on (0,27)%3D) cos(x) =оn (0,2л)%3Dg) tan(x) = V3, on (0,27)%3DQuestion

Asked Dec 12, 2019

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Please answer number 4 and show the steps

Step 1

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Hence, solving a, b and c.

(a)

**To find the intercept of x put f (x) = 0 in f (x) and solve for x.**

**Similarly, to find the y-intercept put x = 0 in equation (1) and solve for f (0).**

Step 2

**Now, to find the minimum and maximum for f (x), find the critical points for f (x).**

**First differentiate f (x) w.r.t x and get f '(x) and then put f '(x) = 0 and find the value for x.**

**The value of x will be the critical point.**

Step 3

**Then, again differentiate f '(x) w.r.t x and get f ''(x) and then find the value of f ''(1) because x = 1 is the critical point.**

**As the value of f ''(1) is positive therefore, f (x) will be minimum at x = 1.**

**Put the value of x in f (x) as 1 and find f (1). f (1) will be the minimum value of f (x).**

**Now, to find the asymptote observe ...**

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