The answers of the questions must be on maple lab. do not write the code on the paper. Thank you so much

Lab #1 Problem 1 Use MAPLE to graph each function. For each function, find the number c that is not in the domain. Then use the graph to find the limit (if it exists) of f(x) as x approaches c from the left, and from the right. a) f(x)= b) f(x)==c)f(x)=1223 d) f(x) -3 (x+2)2 (x-3)2 Problem 2 In this problem, we will explore the effect that changing the coefficient of x has on the graph of the parabola y = 5x2 + bx - 2. a) First consider all the positive values of b. Use the computer to graph y = 5x2, y = 5x2 + 3x 2, and y = 5x2 + 7x 2 on the same set of axes. How does changing the value of b affect the vertex of y = 5x2 + bx 2? b) Now graph y = 5x2 + bx 2 for b = -1,-3, and 5. When the coefficient b is negative, how does this value affect the parabola? c) Summarize the effect that the value of b has on the position of the vertex of the parabola. Make sure that your answer is valid for all values of b whether it is positive, negative, or zero. Problem 3 Given f(x) = x5-2x, plot the following: a) f(x) b) f(x-2) c) f(x)+3 d) f(x-2) + 3 e)|f(x) f) f(x) End! Lab #1 Problem 1 Use MAPLE to graph each function. For each function, find the number c that is not in the domain. Then use the graph to find the limit (if it exists) of f(x) as x approaches c from the left, and from the right. a) f(x)= b) f(x)==c)f(x)=1223 d) f(x) -3 (x+2)2 (x-3)2 Problem 2 In this problem, we will explore the effect that changing the coefficient of x has on the graph of the parabola y = 5x2 + bx - 2. a) First consider all the positive values of b. Use the computer to graph y = 5x2, y = 5x2 + 3x 2, and y = 5x2 + 7x 2 on the same set of axes. How does changing the value of b affect the vertex of y = 5x2 + bx 2? b) Now graph y = 5x2 + bx 2 for b = -1,-3, and 5. When the coefficient b is negative, how does this value affect the parabola? c) Summarize the effect that the value of b has on the position of the vertex of the parabola. Make sure that your answer is valid for all values of b whether it is positive, negative, or zero. Problem 3 Given f(x) = x5-2x, plot the following: a) f(x) b) f(x-2) c) f(x)+3 d) f(x-2) + 3 e)|f(x) f) f(x) End