1. The function f(x) "2x2 + 10x models the height above the ground, in %3D cm, of a jumping frog where x is the horizontal distance, in cm, the frog traveled during the jump. What was the horizontal distance, in cm, that the frog traveled during its jump?

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Determine analytically the point (s) at which the graph of the function has a horizontal tangent. x2…

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: True or False The function f(x) = 2x/(x - 3) has y = 2 as a horizontal asymptote.

A: Given: fx=2xx-3 Concept Used: If degree of denominator is equal to the degree of numerator then…

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Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

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A: P=(x,y) be a point on the graph of y=x2-5

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Q: entiable at x = 1. What is f'(1)?

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Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

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A: Volume can only be positive.We know that is x^2 is always positive , so for V to be  positive,…

Q: What is meant by “the value of a function at x”?

A: Let the function be f(x).

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Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

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Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: The function given below is discontinuous at x = %3D +2x-24 f(x) = x+6

A: The solution to the given question is explained below.

Q: Match f(x) with its graph without using a calculator. -… (x)

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Q: 1, Differentiate the function. (7) f(x)= e (8) f(x)= (9) f(x)= Vx+/2x+ V2x (10) f(x)= 81+

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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A: Given function f(x) Differentiate the function and make it equal to zero for critical points

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A: topic -linear approximation

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Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

A: f(x) is continuous at x=0 if- limx→0-f(x)=limx→0+f(x)=f(0)

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

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Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

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Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

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Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

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Q: f(x) = 4x^2-12x+7   how is this function concave wherever it is defined?

A: Given:

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Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: How should the function f(x)=x²-25/x+5 be defined at -5 to make it continuous at -5?

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: entiable at x = 1. What is f_(1)?

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Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is…

A: Given that: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of…