I wonder if I can get help to do the number 1,2,3,4
Instructions: Your completed assignment should be submitted to CROWDMARK by the date and time given above. Please note that you must show your work to receive full credit for your solution. This assignment covers Sections 10.1 and 10.2. 1. Find the domain of the following functions: (25) (a) y = 1lr - 6x3 +5r -9 (b) f(x) = 20-2 r+4 (c) y = vx-3 (d) g(x) = 32 + 2x - 1 (e) y = - Vx3 + 9 2. For the function f(x) = -x? + 2r + 4, find: (10) (a) Find the a- and y- intercepts. (b) f ( - ? ) ( c ) f ( -1 ) (d) Find f(x + h), and simplify it. 3. Graph the following parabolas. For each graph, find the vertex, x-intercept, y-intercept, and axis of (30) symmetry. (a) f(x) = 3x2 + 14x -5 (b) g(x) = x3 + 6r +8 (c) h(x) = -2x3 +8x -9 4. Currently, an artist can sell 280 paintings every year at the price of $90.00 per painting. Each time (10) he raises the price per painting by $10.00 , he sells 5 fewer paintings every year. Assume the artist will raise the price per painting r times. The current price per painting is $90.00 . After raising the price z times, each time by $10.00 , the new price per painting will become 90 + 10r dollars. Currently he sells 280 paintings per year. It's given that he will sell 5 fewer paintings each time he raises the price. After raising the price per painting r times, he will sell 280 - 5x paintings every year. The artist's income can be calculated by multiplying the number of paintings sold with price per painting. If he raises the price per painting a times, his new yearly income can be modeled by the function: f(z) = (90 + 10x)(280 - 5x) where f(x) stands for his yearly income in dollars. Answer the following: (a) How many paintings the artist must sell in order to obtain the maximum profit? What is the maximum profit? (b) To earn $37,500.00 per year, the artist could sell his paintings at two different prices. Find those prices