Parabola with abs
A). Sketch the graph of the function
f(x)=x * absolute(x) = x * |x|
b). For what values of x is f(x) differentiable
c). Find F(x)
f(x)=x * absolute(x) = x * |x|
b). For what values of x is f(x) differentiable
c). Find F(x)
Correct answer:
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Function x*tanx
Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal asymptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph. - Intersections 25141
The quadratic function has the formula y = x²-2x-3. Sketch a graph of this function. Find the intersections with the axes. Find the vertex coordinates. - Function's 48141
Calculate and write in the table 10 values of the function f: y = 3x + 1, and the function's graph from them. - An odd function
If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f?
- Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - Determine 6621
1) The function f is given: y = I 2-x I + 2. Determine the values of the function in points, i.e., F (-2), f (0), f (1), f (4,8). - Function 3
Function f(x)=a(x-r)(x-s) the graph of the function has x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s. - The graph
Given that (-5,8) is on the graph of f(x), find the corresponding point for the function f(x)-2. - Coordinate
Determine the missing coordinate of the point M [x, 11] of the graph of the function f by rule: y = 3x
- Temperature 7595
Colorless liquid weighing m = 200 g is heated with constant stirring on a stove with power input P0 = 600W. 80% of the supplied energy is used to heat the liquid. Selected measured values of liquid temperature as a function of time are recorded in the t - Sum of absolute values
Is it possible for |r| + |s| = |r+s|? If so, when? - A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - Eq2 equations
For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40 g(x) - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3
- Intersections 62534
The equation of the linear function is: y = -3x + 4 (a) determine the intersections with the axes sketch chart b) for which x applies f (x) = - 1 c) for which x applies f (x) = 0 d) for which y applies f (-1/2) = y - Intersections 80587
Draw the graph of the function y = -2x + 3. Calculate the coordinates of the intersections of the function's graph with the x and y axes. - Determine 46853
Determine the number and in the function y = ax-2 if its graph passes through point A (1, -4).