Find the x-intercept(s) of the following function. f(x)=x2−16

Q: Find the domain of the function: h(x) = √(3x + 12)

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Q: Find all x-intercepts for the function f (x) = 4ª-1 – 2º+1 – 12.

A: To Determine: Find all x-intercept for the function f(x)=4x-1-2x+1-12 Given: we have a function…

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

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Q: Find the y-intercept of the following function. f(x)=x2−16

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Q: In the given question , find the two x-intercepts of the function f and show that f'(x)=0 at some…

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Q: Find the domain of the function. f(x) = 7x + 15

A: Given fx=7x+15 The domain of f(x) is all real numbers except where f(x) is undefined. In this case,…

Q: Find the domain of the function. h(x) = √(3x - 1)

A: We have to find the domain of the function: hx=3x-1 We know for any square root function y=fx, fx≥0…

Q: Find the y-intercept(s) of the function f(x)=-x+5x-6.

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Q: Graph the function f(x) = 4x + 2 and determine the interval(s) for which f(x) ≥ 0.

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Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

Q: The slope of the function f(x) : –2x+3y= 6

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Q: Find the domain of the function. h(x) = 2x/  (x2 - 4)

A: we have to find the domain of h(x)=2x(x2-4)

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: The given function is fx=16x4-15x2.

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: Find the zeroes of the function  f(x) = x/(x2-1)

A: Answer and explanation is given below...

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

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Q: nd the x- and y-intercepts for the function. f(x) = x+10 x2 +25

A: Given query is to find x and y intercept of the function.

Q: f(x) = *+5 x2+4

A: Given,         The function is fx=x+5x2+4 .

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: Find the range of the function f(x) = x² - 2x - 4.

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: If f(x)=(m-4)x+7 is a constant function m =?

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Q: For the linear function y = f(x) = - 4x - 4:

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Q: If f(x) = ax + b with a + 0, how are the zero of f and the x-coordinate of the x-intercept of the…

A: To find x-intercept of a function f(x), we put f(x)=0. To find zeroes of f(x), we put f(x)=0. i.e.…

Q: Find the two x-intercepts of the function f and show that f′(x) = 0 at some point between the two…

A: Given function fx=x2+6x It is continuous and differentiable on real number line. Therefore,…

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: Find the intervals of increase and decrease for the given function. f (x) = x2 + 4x + 3

A: A function is  increasing on an interval, where the value of the first derivative of the function…

Q: Given the function f(x)= x² + 2x+1, find f(-2).

A: Put x= -2 in f(x)

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Find all x-intercepts of the function f ( x ) = ( x + 3 ) ( x − 4 ) ( x − 9 ).

A: Since, our aim is to find all x-intercepts of the function given below:-f(x)= (x+3)(x-4)(x-9)   -(i)

Q: find f(a+h)-f(a) for the function  f(x)=x^2-15x+10

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Q: Find the maximum or minimum value of the function. f(x) = −x2 + 10x − 14

A: The given function is

Q: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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Q: Find the domain and range of the function f(x) = x2 + 3

A: The given function is fx=x2+3. To find: the domain and range. Solution: The function is fx=x2+3, and…

Q: Find the slope of the graph of the function f (x) 4(5x + 6)² at x = 3.

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Q: If f(x)=(2m-8)x-4 is a constant function m =?

A: We have been given a function f(x) = ( 2m - 8 )x - 4. For which value of m is f(x) a constant…

Q: Find all x-intercepts for the function f(x) = 4x−1 −2x+1− 12

A: fx=4x-1-2x+1-12

Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: Find the domain and range of the function. f(x) = x3

A: the given function is: fx=x3 we have to find the domain and range of the given function.   as we…

Q: Find f"(x) for the equation f(x)=x6(x2-1)3

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Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

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Q: x2 – 4 f (x) = c2 – 4x

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Q: Find the domain and range of the function. h(x) = 4 − x2

A: Given function is,         h(x)=4-x2 We know that, The domain of the function is set of all input…

Q: Find the two x-intercepts of the function f and show that f′(x) = 0 at some point between the two…

A: Find the two x-intercepts of the function f and show that f′(x) = 0 at some point between the two…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.