What is the range of the following function? y = x2 + 6x – 7 {y | l-o -16} {y]y 2 -7}

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: The minimum value of the function occurs at x = f(x) = =(-3) n the interval -100 s xrs100 OCcurs at…

A: Introduction :

Q: The graphs above are approximate graphs of f and f' for f(x) = x°(x – 12). So f is decreasing (and…

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Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

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Q: Find all relative extrema in the function k(x) = (x2 – 4)-2 on the interval [-3, 3].

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Q: b) For f(x) = x²/(4 – x²), find the intervals in which it is increasing/decreasing, Concave down/up,…

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Q: Q.5 For function f(x) = x - 3x2 -9x + 4 1) Find the intervals of increase and decrease 2) Find the…

A: here degree of the polynomial is 3 which is odd and the leading coefficient is 1 which is positive…

Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x>0  To find the absolute extrema, let's find the…

Q: Find the absolute extrema of the function on the closed interval.

A: Consider the function g(x)=sec x on the interval -π6, π3 To find the absolute extrema of the…

Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: 4. The graph of f(x)=x² – 6x² +2x+5 is given below. Sketch the line 2x- y=3 on the same graph and…

A: Consider the function fx=x3-6x2+2x+5 and the line 2x-y=3.   Sketch the line and function on the same…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: f(x)=ln 5x2+4x2+1

Q: the critical numbers of the function f(x)=6x5-10x3+3 are 0, 1, -1 1) which of the following is true…

A: Given:The critical points of the function f(x)=6x5 - 10x3 + 3 are x =−1 , x = 0 and  x = 1.

Q: Given the function f(x) = %3| Vx2 –1

A: Given: fx=xx2-1

Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

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Q: 2. f(x) = is a continuous function but it is discontinuous at x = 3. Explain why X - 3 this is not a…

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: Find the interval(s) where the function is increasing and interval(s) where its decreasing. 1- x2 2.…

A: We need to find the intervals in which the given function is increasing and decreasing.

Q: f (x) = x6 – 3x4 – 2x +1 on (a) [-1, 1] and (b) [-2, 2]

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Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: (7) For the function f (x) = 0.25x - 2r3 Find intervals of concavity and inflection points

A: From  first derivative and second derivative of the given function we can answer to this question.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: Find the value(s) of a for wh has range of all real numbers.

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Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

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Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

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Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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Q: Consider the function f(x)=3x^3−2x on the interval [-2,2]. Find the average or mean slope of the…

A: The objective is to find the mean value of the function and find the values of c for which f'(c) is…

Q: On the graph of f(x)=secx and the interval [−2π,0), for what value of x does f(x)=1? Choose all…

A: Given  Graph of f(x)=secx and the interval [−2π,0) To do Find the value of x at which f(x)=1. Choose…

Q: Consider the following  y=(x-2)^3   Find the critical numbers. x= Find the open intervals on…

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Q: Consider the function f(x)=2x^3-9x^2-60x+2 on the interval [-6,8]. Find the average or mean slope of…

A: Given - f(x) = 2x3 - 9x2 - 60x + 2 ................... (1)  Interval =  [-6, 8] f(-6) =…

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

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Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: For the following function, find (a) the critical numbers; (b) the open intervals where the function…

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Q: 9. Given the function f (x) = 3x -4x2 + 2, use the first and second derivative tests to find: a) the…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: What is the range of the attached function?? Is it f(x)<=3/4 or f(x)>=3/4

A: Given the funciton f(x)

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

A: We need find value of x for which secx=1 in the interval -2π≤x<0

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: The solution of the problem is given in the next steps.

Q: f'(x) 3 2 Analyze the given graph of f'(x) to find a) intervals where f(x) is decreasing b) x-values…

A: (a) the intervals where f(x) is decreasing the interval where  f'(x) is positive is increasing and…

Q: 4. Find the intervals of concavity for the function f(x) = e-/3. Identify any inflection points.

A: use double differentiation =0 to find inflection points and concavity

Q: 4. The graph of f(x)= x-6x² +2x+5 is given below. Sketch the line 2x-y= 3 on the same graph and then…

A: Just take the derivative of f(x) and equate it to slope of given line and find the values of x and…

Q: Find the absolute extreme values of the function on the interval. 14) f(x) = ex - x, -1 sxs 2 %3D

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Q: 4. Find the intervals in which the function is concave up /concave down for the function f(x) = x* -…

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Q: Need to find local and absolute maxima and minima for the equation: f(x)=(x-2)/(x^2-1) on the…

A: Local maxima is a point f(a) on function f, a with in the domian of f, such that f(a) ≥ f(x) for all…

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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Q: On the graph of f(x) = sec x and the interval [0, 2Δ), for what value of x does f(x)= -1?

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Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)

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Q: Consider the function f(x)=7-5x2 on the interval [-2,5]. Find the average or mean slope of the…

A: Function f(x) = 7 - 5x2 on the interval [-2,5]. To find the average or mean slope of the function on…