4. Consider the function f(x) = 1 a) Given € > 0, find M > 0 so that if x > M, then - <1 - f(x) < €. Notice that since 70 *>M>0, x > 0. -E<1-f(x)

Q: 4. Graph the function f(x)=x² +1 ²+1 analytically describing its characteristics.

A: The given function is, f(x)=1x3+1. We need to describe the characteristics of the function from it's…

Q: 3. Consider the function +R where f(r)= log,(2-52). (a) Find the rule for f-. (b) State the range of…

A:

Q: ) Covid News Alert: In one state in America, the number of positive cases(y)increases as the days(x)…

A:

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x&lt;0 for…

Q: EVIL BONUS: 16. Determine an equation of the form f(x) = at x =5 and ay intercept of-. for a…

A: We want to find a function whose graph has a vertical asymptote at x=a. The type of function that…

Q: ) Describe the similarities and differences (at least four in total) between the graph of (x) = 2*…

A:

Q: 8) If the graph of function f(x)=(1- ax)3/X?crosses its oblique asymptote at x=1/3 determine the…

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: the function Increasing, Decreasing, or Both?  Is the function Even, Odd, or Neither?  What is the…

A: The function is decreasing in its domain.    The function is neither even nor odd.    Vertical…

Q: sketch the graph if x1 39. f(x) = {1 %3D -1 if x1 -1 40. f(x) =

A: As per our guidelines, we’ll answer the first question since the exact one wasn’t specified. Please…

Q: Graph

A: L'Hospital Rule: If limx→af(x)g(x) is of the form 00 or ∞∞, then limx→af(x)g(x)=limx→af'(x)g'(x) We…

Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

A:

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: given: f(x)={(x^(2)+1 if x>-1),(2x if x<=-2)} a) draw an accurate graph of f(x). b) f(1) c)…

A:

Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

A:

Q: 3. FOR THE K(x) = ()* FUNCTION STATE THE DOMAIN, RANGE, TND BEHAVIOR X-INTERCEPT(S), AND Y-INTERCEPT…

A:

Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

A: The floor function is the function that takes as input  real number x,and gives as output the…

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: Consider the graph of f(x)=4^x.   Which of the following shows the related graph h(x)=4^(4+x) ? B…

A:

Q: 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x 4, f"(x) > 0 if 1 3

A:

Q: Let f(x) = [(1000-x)^1/3]. Use linerarization to approximate the number       [(997)^1/3]

A: We are required to approximate the value of 997^(1/3) usign linear approximation.

Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2