Find the points on the graph of the function that are closest to the given point. fx) %3D х2 - 3, (0, -2) (х, у) - (smaller x-value) (х, у) - (larger x-value)

Q: What point on the function, y = 3x2 is the closest to (0, 1)?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the slope and y-intercept of the linear function f(x) : should be an ordered pair or…

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: x2-5х-6 y = (х+3) (х-3)

A: y=x2-5x-6x+3x-3 We have to find the values of x at which the given y is discontinuous.

Q: The y-intercept of the function is

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Q: Equation: y = x4 - 2xPoints: 10, 02; 11, 12; 1 - 1, 02

A: We have to plot the points that satisfy the equation y=x4-2x.

Q: Determine whether the equation defines y as a function of x : lxl - y = 5

A: Given that: The  function   x - y = 5

Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

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Q: Determine whether the equation defines y as a function of x. 3x2 - y = 5

A: Given:  3x2 - y = 5

Q: Find the range for the function x²+y²=4

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Q: Find the domain and the range for x+1 y=

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Q: Determine the absolute and local extreme values of each function on the given interval. a) y = 7x-4,…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine whether the equation defines y as a function of x. 3x - √y = 8

A: Determine whether the equation defines y as a function of x. 3x - √y = 8

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: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

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

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

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: Find all points on the x-axis that are 6 units from the point .(4,-3)

A: Consider the point on the x-axis be (x, 0)

Q: Graph the step function. 0 < x < 1 1 < x < 2 1, 3, if 2 < x < 3 if 3 < x < 4 if if 7. f(x) = 4, 6,

A: Please refer the attached image for complete solution.

Q: Match the function with its graph. y = 3(x + 3) – 2 6- -5- 5 4- -6 -5 5 6 -6 -5 -4 -6 -5 5 6 to -2…

A: Given that the equation. So first simplyfy it. Then here a&gt;0 so it is upward parabola and…

Q: Suppose that f is a linear function with slope 3 and that f(2) = 4. Find the equation for f. (Use x…

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Q: Differentiate the function. y = square root x(x − 4)   y' =

A: Recall:    Product Rule of Differentiation:               Let u and v be the function of 'x' , then…

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: Q3: Find Domain and Range. 1 y = VIx| – x

A: According to guidelines we should have been able to solve only one question at a time #3 Domain and…

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: i. Find the equation of a power function through the points (2, ) and (, 8). y ii. Now, find the…

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Q: A function is given below.  What is the slope of the curve, y, at the point (-3, -11)?…

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Q: 8. Which equation does not represent y as a function of x?

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Q: Find the point on X-axis which is equidistant from (2,-5) and (-

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Q: Differentiate the function. + Bcos y y10

A: To differentiate the function z=(A/y¹⁰)+Bcosy

Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: Which function has x-intercepts at −3π/2,−π/2,π/2,-3π/2?

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Q: Find the range of values of x if the cost of production is always more than x thousand dollars.

A: The cost function is a polynomial. So, the domain is [0,∞) When n=0,…

Q: i. Find the equation of a power function through the points (16, 24) and (81, 81). y

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Q: + 15лу + 49у —", - 49y

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Q: decide if the function is linear y=2x-2

A: We have given an equation

Q: Find Domain and Range. y = VIx| – x

A: The given function is: y=1|x|-x Its a square root function in the denominator. So, |x|-x≠0. So, x≠0…

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

A: Finding stationary points

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: 5. Find the range of the function y = 7x -1 when the domain is {-1, 0, 1}

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Q: Identify the x-intercept of the function. 3) 5x - 2y--6 B) C) (-6, 0) E) (3, 0) D) (5,0)

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Q: A downtown parking lot charges $5 per hour for the first 2 hours, then 2.50 per hour after that.…

A: Given that for first 2 hours parking charges = $5 per hour and after 2 hours parking charge = $2.50…

Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.

Q: Write an equation for a line perpendicular to f (1) = 5x – 1 passing through the point (5, 20). %3D…

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