Week 5

The y-coordinate of the point of discontinuity of y=\frac{2x^{2}+3x-9}{x^{2}+2x-3} , rounded to the nearest hundredth, is___

For the function y=\frac{2x^{2}-2}{x^{2}+2x-3}, determine the y-intercept.

For the function y=\frac{2x^{2}-2}{x^{2}+2x-3} , determine the x-intercepts.

For the function y=\frac{2x^{2}-2}{x^{2}+2x-3}, identify the asymptotes.

y = \frac{2x-7}{x-2} is the transformed equation for the function f(x) = \frac{1}{x}. The transformations taken place are

Which function is equivalent to y=x-4 , where x≠2 ?

For the graph of y=\frac{3x+7}{2x+5} , the equation of the horizontal asymptotes is

The polynomial P(x)=x^{3}-x^{2}-40x+n has a factor of x-3. The value of n, correct to the nearest whole number, is___.

A function f(x) is translated 4 units to the left and 3 units down. The transformed function has an equation

Refer to Q9: The domain and range for f(x) before transformation was [4, 6] and [5,8] respectively. The new domain and range can be written as [a,b], [c,d]. Express the values of abcd

The rational function for the graph shown can be written as

f(x) = \frac{(x+a)(x+b)}{(x+a)(x+c)}. Express the values of abc

A function y=f(x) is transformed to y + 2 = 3 f(6 - 2x). If f(8)= -2, find the transformed image coordinate.