Find the domain of each of the following functions. Show your w Use interval notation. [Hint: Drawing a number line may be helpful.] (a) h(x) = x²+4x-50 (x-4) 5 (b) m(x)= = √7-x (x-9)(x-10)

Consider the following. 3x + 8 C(x) = 2* x + 3 (a) State the domain of the function. O all real numbers x O all real numbers x except x = -3 O all real numbers x except x = 8 O all real numbers x except x = -8 O all real numbers x except x = 3 (b) Identify all intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = ( y-intercept (x, v) = (| (c) Find any vertical and horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.) (d) Plot additional solution points as needed to sketch the graph of the rational function. y 15r 15 10 10 5 -15 - 10 5 10 15 -15 -10 -5 10 15 -5 -5- -10 10 -15 15 y 15 15 10 10 5 5 -15 -10 -5 10 15 - 15 -10 -5 10 15 -5 -5 10 -10 -15 -15

Use the function f(x) = -5x +3 to compute and expand and simplify the following. a. f(3) : b. f(x) + h = c. f(x + h) d. f(x + h) - f(x) 3D