Oct 23, 2016 · Well, all you have to do is to plug two values for #x# and find the values of #y# then graph the line. It will surely pass through the origin.

For which values of x element of the real numbers lays the graph of the function f with function rule f (x) = 2x^4 + 2x^2 below the graph of the function g with function rule g (x) = 5x^3 + 5x?

See a solution process below: First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality. For: x = 0 2y = 0 - 2 2y = -2 (2y)/color(red)(2) = -2/color(red)(2) y …

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lim_ (x->1)sin (pix)/sin (3pix)=1/3 lim_ (x->1)sin (pix)/sin (3pix) This limit is in the form 0/0, so we can use l'Hôpital's rule, which states that, if a limit lim ...

horizontal asymptote at y = 0 The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator …

Start by simplifying the expression a little. You should know two formulae for indices (there are more, but these two are relevant): 1 x = x−1 a√xb = xb a From these we can see that 2 4√x3 = 2 ⋅ 1 4√x3 = 2 ⋅ …

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The vertical asymptote is x=-1/4 The horizontal asymptote is y=-5/4 There are no oblique asymptotes As we cannot divide by 0, the vertical asymptote is x=-1/4 There are no oblique asymptote as the …

May 22, 2018 · The region in quadrant 1 under the graph of #y=4-x^2# is rotated about the line to form a solid. Find the volume of the solid. Calculus