Find the point of the graph of the function that is closest to the given point: f(x) = 2x+9 ; (0,14)

Q: What is the zero of the function?

A: We have to define the zero of the function.

Q: Find the inflection points of the function f (x) = x3 - 3x2 + 5, and explain why the graph has the…

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Q: Find the slope of the graph of the function at the given point.                         f(x) = 3x2 −…

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Q: Use the graph of f(x) = x2 to write an equation for the function represented by (a) y -2 -2

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Q: Graph f (x) = 3x. Where should the graphs of f (x) = 3x + 2, f (x) = 3x - 3, and f (x) = 3x - 7 be…

A: Consider the given: fx=3xfx=3x+2   Shift 3x up to 2 unitsfx=3x−3   Shift 3x down to 3 unitsfx=3x−7…

Q: Find the slope of f(x) = -2x² + 2x + 3 at (2, – 1). Use a graphing utility and round to the nearest…

A: Consider the provided function and the point, fx=-2x2+2x+3   at 2,-1 Find the slope of the function.…

Q: What is the y-intercept of the function f (x) = 2"-1 +3

A: When function cross y axis x coordinate is zero

Q: Determine where the graph of the function f(x) = 2x3 - 6x is concave up and where it is concave down

A: Known fact: The graph of the function fx is concave up on I if f''x>0 for all x in I. The graph…

Q: Determine the maxima and minima of the function: y=2+12x-x^3

A: If second derivative is less than zero then maxima and if greater than zero then minima

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: fx=x3-9x2   To Find: the points of inflection and discuss the concavity of the graph of the…

Q: Use the graph to find the X-value for which f(X) = 5. Enter the value of X below.

A: Given - f(x)=5 Graph is shown . Using the graph to find the X-value for which f(x)=5.

Q: The y-intercept of the function is

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Q: Sketch the graph of the function. y = 3x/2

A: we have to Sketch the graph of the function. y = 3x/2

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

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Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = 3x −…

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Q: Find the domain and range of the function without graphing f(x) = 2√x

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

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Q: Use the graph of the function f(x) = 0.5x +1 to find the value of y when x = 4. *

A: Given :            f(x) =0.5x + 1        Let y = f(x) = 0.5x + 1 ...(1)    To find:…

Q: Graph the function. f(x) = 3*

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Q: Find the slope of the graph of the function at a given value. f(x) = -3x2 + 8x - 6/x2 when x = 5.

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Q: Find where function is increasing and decreasing. And graph the function.   f(x)= x4-33x2+90x+216

A: To determine the intervals on which f(x) is increasing or decreaing

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Find the graph of the equation. f (x) = | x – 2||

A: The function is given by f(x) = |x-2|

Q: For Exercise, graph the function. –4x – 3 for x < 0 f(x) = for x 2 0

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Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 -9,…

A: The function f(x) is given by :                    f(x)=x2-9; at (0, 2)     To determine:…

Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5)…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, (0,…

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Q: Find the slope of the graph of the function at the given point. 256 f(x) = (4, 1) f'(4) =

A: Explained below

Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, 6.…

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Q: Find the domain and the range of f.

A: Solution:-  The domain and the range of f.

Q: Find the equation for the horizontal asymptote of the graph of the function. f(x) =  (4x2 divided…

A: Given: The function fx=4x2x3-9-9x8x+5 To find: The equation of horizontal asymptote of the graph of…

Q: This graph represents the function f (x) = x² – 2x + 2. %3D -

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Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Find the slope of the graph of the function at the given value. f(x) = 4x+ 8. when x = 5 %3D

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Q: sketch the graph of the function y= x-4X +3

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Q: Find the slope of the graph of the function at the given point.                        f(x) = √(3x2…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 8, (0,…

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Q: Find the domain and range of the function and sketch it: 2x2 y -1

A: First find the domain.. Denominator is not equal to 0 then find the zeroes and poles.. Then find the…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)…

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Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) &gt; 0 and decreasing if f'(x) &lt; 0.

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: Match the function with its graph. y = 2(x + 4)² – 1 %3D

A: given function : y=2x+42-1   as coefficient of x is greater than 0 , parabola opens upward

Q: Give the slope and y-intercept for the graph of the function f(x) = 16 – 5(2 – 5x). %3D

A: Given,             The function is fx=16-52-5x.We know that,            The equation of the line in…

Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: Find the vertex and y-intercept of the graph of the function f (x) = 4|x + 5|+ 8. %3D Enter your…

A: We have to find the vertex and y-intercept of the graph of the functionf(x)=4x+5+8