Use the graph of f (x) = = below to find a number & such that |f (x) – 0.25| < 0.1 whenever 0 < |æ – 4| < 8. y 0.35 0.25 0.15 4 Enter the exact answer. 8 = Number

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: Find k so that f has a relative extremum at the point where x = 3. k 2.

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Q: Q1/ For the given functions below: f(x) = 2х - 4 g(x) = V5 - x Solve to find the (fog) then…

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Q: 3000 If the function r(t) = 1+1 gives the number of rabbits on a farm after t months, how many…

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Q: The wolf population on Isle Royale, t years after 16 wolves are introduced, is modelled by the…

A: given, P= 16 e0.03t at t = 15 years P = 16 e0.03*15 =25.09

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: For the function, supply f(x) = e-3x f(x) = Use technology to compute the missing values in the…

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Q: Use the table below to find h'(-1) for h (x) = f (g (x)). I()9() lO() 1/2 0. -2 -3 1. -1 -1 -2 -2 -2…

A: Given that hx =fgxTo find : h'-1Solution hx =fgxh'x =f'gx×g'xx=-1h'-1 =f'g-1×g'-1h'-1 =f'-2×2h'-1…

Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: Q2: Find the value of the constant K if the function 4-x is continuous at x-2 f(x) ={3-Vx² +5 ;x= 2…

A: we have to find the value of k Given,  f(x)=4-x3-x2+5          x≠2K                              x=2…

Q: (a) Find f'-(4) andf'4(4) for the function if x4 5 - x (b) Sketch the graph of f. (c) Where is f…

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Q: Find the value of constant K that makes the function below continuous at x = 2. You MUST write your…

A: Given: fx=x2-2xx-2 , x&lt;2kx-3  ,x≥2

Q: A producer of miniature blenders has determined that the revenue from the production and sale of x…

A: Given:  R(x) = 25x - 0.025x2

Q: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

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Q: 5. The temperature of air in a room in Degrees Fahrenheit is represented by the function t(x) =…

A: Temperature in degree Fahrenheit is given by the equation  t(x)  =  8x + 21   x is the number of…

Q: 2.) For the functions f (x) = 3x + 5 and g(x) = 2x – 8 find (E) (x) and give its domain in interval…

A: Consider the functions  f(x)=3x+5g(x)=2x−8

Q: 29) Use the graph to: 29)de 0, a) Identify where f(x) is undefined or f(x) 0 b) Solve f(x) <0

A: a) From the given graph, observe that the graph of the function y = f (x) is undefined at the pointx…

Q: The graph of the derivative f' of a function f is shown. X 2 4 8 10 y 14 16 18 (a) On what interval…

A: Redraw the given graph as shown below,

Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1?…

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant

Q: Locate the absolute extrema of the function on the closed interval. 12 g(t) = [-1, 1) t2 + 1'

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Q: 1. Given that b and c are some nonzero constants, consider the following function: y = f(x) = x* +…

A: From the given function: y=fx=x4+bx3+c As we know that, to calculate the critical points: f'x=0 So,…

Q: 1. The height of a ball thrown by player is given by the function h(t) = -( (18 + m)t + (3 + m),…

A: Given: It is given that the height function is h(t)=-(7+m)t2+(18+m)t+(3+m) where t is time and m=5.…

Q: B- Gives a formula for a function y = f(x). In each case, findf" (x) and identify the domain and…

A: Explanation of the answer is as follows

Q: B. Evaluate the piecewise function below at the given values of x. if -1 1 1.f(-1) 2. f(5) 3. (e)

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: A tortoise and hare are competing in a 1000 meter race. The function f and g are such that f(t)…

A: Given that the total distance is 1000 meter. g(t) represents the hare's distance from the finish…

Q: ニ +る X.

A: the interval(s) where the function is increasing and the interval(s) where it is decreasing.

Q: nd the graph of a function that is defined and increasing for all x20, has an inflection point at x…

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Q: Given the graph of the function y = g(x) on the interval [0, 7]. The graph of g has an inflection…

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Q: A square root function is given below. h(x) = --3 - <-2 Which function opens in the same direction…

A: We know that, the graph of a function fx=hx+k will be k units horizontally right from the graph of…

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. g(x)…

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Q: Draw the graph of the function f (x) = ⌊2x⌋ from R to R.

A: We have to draw the graph of the function f (x) = ⌊2x⌋ from R to R.

Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant (d)…

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Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

Q: Consider the following function.   g(x) = 2x2 + (32/x)+8   Find the x-value(s) of the relative…

A: We find the first and second derivative using power rule. Power rule: d/dx(x^n)=n*x^(n-1)

Q: 2 a) For the function f(x) = find f' X- 3'

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Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

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Q: 4. At Wally Motors, an auto engineer, in testing a new engine on one of its new models, found that…

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Q: .. The graphs above are approximate graphs of f and f' for f(x) = a²(x – 15). So f is decreasing…

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Q: x2 x3 x4 x5 x1

A: A: From graph Only for x1, f(x) &gt;0 (For x2, x3, x3, x5  f(x) &lt;0)    B:    f'(xi) &gt;0 implies…

Q: 2. Consider the population of bacteria described earlier. This population grows according to the…

A: Given: To Find:

Q: 10 4r The function f(x) has a removable discontinuity at x = 0. To remove the discontinuity, f(0)…

A: Removable discontinuity: A function f(x) has a removable discontinuity at x=c if f(c) is not…

Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: Use a linear approximation of the function below at x=−3 to approximate the value of f(−3.1).…

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Q: The domain of the function f(x) - cosh 19) + cosh™( 19 -–) is [A, 360) Then The value of k = The…

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Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Given function is  y=e9-x2-2 which is of the form of exponential function and it exist.

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…