College Algebra
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Identify the domain and range of the following function:
f(x) = 14/x
Identify whether the function f(x) = 3/x4 is even or odd, and tell something about its symmetry.
Consider the given rational function and find its domain.
f(x) = (x +5)/(x2 +25)
Complete the given statement using the graph of the rational function in the figure shown.
As x → -16+, f(x) →
Consider the given rational function and find vertical asymptotes and values of x corresponding to holes(if applicable).
f(x) = x/(x +7)
For the following function, write the coordinates of the hole.
f(x) = (x2 - 36)/(x + 6)
f(x) = (x2 -2x -15)/(x +3)
For the given rational function, find out the equation of the horizontal asymptote (if applicable). f(x) = 5x/(2x2 +7)
For the following function, write the equations for the vertical, horizontal or oblique asymptotes.
f(x) = (x2 + 16)/(x2 + 25)
Graph the given rational function using the transformation of f(x) = 1/x2, g(x) = 1/x2 -11
Graph the given rational function g(x) = 1/(2x+1)2 using transformation of f(x) = 1/x2
For the graph of the rational function given below, identify any vertical, horizontal, or oblique asymptotes. Also, write the domain of the function.
Graph the given rational function following the seven steps. f(x)=(7x2-6x−16)/(4x2−5x)
Rewrite the equation of f in the form quotient + remainder/divisor using long division, and graph the function using the equation of this function and the transformation of 1/x.f(x) = (3x +5)/(x +8)