Enter an equation for the line of Symbrietry for the function f(x)=4x2+16X=9

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Find the equation of the line that is tangent to f(x) = 2x² and is parallel to 16x - 4y =11.

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given equation is y=x4+3x3-2x-2, x=-3. Find the slope of the line tangent to the graph of the…

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: Find the equation of the line tangent to the graph of the function at the indicated point…

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Q: The slope of the line that is parallel to f(x)=2-16x is

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Q: The slope of the line that is parallel to f(x)=2-14x is…

A: Recall:  The slope of the line that is parallel to the curve f(x) is same.

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

Q: Find the x-intercepts of the given function.  y = x2 - 3x + 1

A: The x intercept of a function or an equation is a point of the form x,0 . A coordinate point of a…

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: Find the function satisfying y' x + 3 and y(0) = 2 ... 2y + 5

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Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: Find the x-intercepts of the given function.  y = 4 - 2x - x2

A: Our Aim is to find the x-intercept of the function given below:-y=4-2x-x2-(i)For x-intercept we will…

Q: Find the relative extremes of the two-variable function f(x,y) = 2x3+2y3+6xy+1

A: maximum at (-1,-1)

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

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Q: Write the equation of the line that is tangent to the function y = xVx and is parallel to y = 2x + 1

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Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

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Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: The product of slope of perpendicular lines is -1  and slopes of two parallel line are equal. The…

Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Find the slope of the line that connects the points x = a and x = a + h for f(x) = 2x^2

A: Given,        The slope of the line that connects the points x=a and x=a+h for fx=2x2.

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

A:

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where;…

Q: Find an equation for the linear function which has y-intercept -4 and x-intercept 7.

A: The x-intercepts are where the graph crosses the x-axis or y coordinate is zero and at the y…

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: d) Locate and identify the stationary points in the function y = x³ - 4x² + 2x

A: Finding stationary points

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: Given functions: y=2-x2y-2x+3=0 Equation of perpendicular line is, 2x-4y=6

Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given:- f(x) = 2x2  Line :- 6x-y+4=0 To find:- Equation of tangent line which is parallel to given…

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

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Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

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Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…