See below. The end behaviour is what is happening as x->+-oo lim_ (x->oo) (3x-3)/ (4x+5) (3x-3)/ (4x+5) Divide by x: ( (3x)/x-3/x)/ ( (4x)/x+5/x)= (3-3/x)/ (4+5/x ...

A good way to think of the H.A is that it guides the end behavior of the function. Since the degree of the numerator (1) is less than the degree of the denominator (2), the horizontal asymptote is at y=0.

How do you find the zeros by rewriting the function #g (x)=3x^2+24x+21# in intercept form? How do you find the zeros by rewriting the function #h (x)=x^2-4x-77# in intercept form? How do you find the …

Jan 18, 2018 · As the function approaches #x=-1# negatively, we have a negative numerator and a negative denominator, meaning a positive value, i.e. it goes to positive infinity. Therefore, both …

How do you find the derivitive of Inverse trig function #y = csc^-1 (x^2+1)#? How do you solve #sin 2x = 2 sin x cos x# using the double angle identity? How do use the first derivative test to determine the …

Apr 30, 2018 · An Intuitive "proof": The function is defined for all values #x# with the exception of a discontinuity at #x=0#. Hence, given the restricted domain #x in (0,oo)# the function is well defined …

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How do find the vertex and axis of symmetry, and intercepts for a quadratic equation y = − 3x2 + 5? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs

How do you find the slope of the tangent line to the parabola #y=7x-x^2# at the point (1,6)? How do you find the slope of the tangent line to the graph of the function #g (x) = 4 − 8x^2# at the point (7, -388)? …

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