4. [3.15/4 Points] DETAILS PREVIOUS ANSWERS A quadratic function f is given. f(x) = 6x2 + 12x (a) Express fin standard form. f( x) = 6(x+1)2 -6 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex ( x, y ) = -1, - 6 x-intercepts (x, y) = 0,0 x (smaller x-value) ( x, y ) = 2,0 X ) (larger x-value) y-intercept ( x, y ) = 0,01. [-/3 Points] DETAILS Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. r(x) = . 1 X - 2 4 4 -10 -5 X 5 10 -10 -5 X 5 10 -21 -2- -4 -4 C CState the domain and range. (Enter your answers using interval notation.) domain range 2. [-13 Points] DETAILS Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. 4x 7 1'00 = x2 I I I I I I O I I I I I I p \\,/ \\,/ State the domain and range. (Enter your answers using interval notation.) domain S 3. [-/3 Points] DETAILS Use transformations of the graph of y = 1/x to graph the rational function, as in Example 2. r(x) =X+3 x + 4 4 2 -15 -10 . 5i X 5 10 15 -15 -10 -5 10 15 -21 -21 -4 -4 C C4 4 X -15 -10 -5 5 10 X 15 -15 -10 - 5i 5 10 15 -21 -21 -4 -4 C C State the domain and range. (Enter your answers using interval notation.) domain range4. [-/3 Points] DETAILS Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) t(x) = x - 3x - 10 X - 10 x-intercept (x, y) = (smaller x-value) x-intercept (x, y) = (larger x-value) y-intercept (x, y) =5. [-/3 Points] DETAILS Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) r(x) = X2 - 25 x2 x-intercept (x, y) = (smaller x-value) x-intercept (x, y) = (larger x-value) y-intercept (x, y) =