Final answer:
The independent variable in the equation is x, the domain is determined by the denominator, and the points of discontinuity occur when the denominator is zero. The x-intercepts and y-intercept can be found by solving for x and y when y is zero and x is zero, respectively.
Step-by-step explanation:
The independent variable in the given equation is x, and the dependent variable is y. The domain of x represents all the possible values that x can take. In this case, since x appears in the denominator of the fraction, we need to make sure that the denominator is not equal to zero. So, we set the expression x^2+8x-20 to not equal zero and solve for x. The points where the expression in the denominator is equal to zero are the points of discontinuity.
To find the x-intercepts, we set y equal to zero and solve for x. The x-intercepts represent the points where the graph of the equation crosses the x-axis. To find the y-intercept, we set x equal to zero and solve for y. The y-intercept represents the point where the graph of the equation crosses the y-axis.