Question

1: Solve the following inequalities and express your answer in interval notation. (10 points) x? - 5x-620 Solution 1: 2: Solve the absolute value inequality; 3 - 2x > 9. Write the solution in interval notation. (10 points) Solution 2: (5 points each) 3: For the following function, 3x + 4 f(x)= x+2 3.1: State the domain of the function, Solution 3.1: 3.2: Find x- and y-intercepts (if any), Solution 3.2: 4: Given f(x)=x+5x+2, evaluate the following expression: f(x+h)-f(x) +0. (10 points) Solution 4:

Answer 1

(1) First of all factorize the quadratic expression x? -5x – 6 into tow linear factors: r? - 5x-6 = x2 - 6x+x-6=x(x-6)+(x-6)=(x-6)(x+1) x2 - 5x-620 (x-6)(x+1)20 xe(-1,-10U(6,2) So the solutionof the given inequality is (-0, -1) U(6,0). 3 - 2xl> 9 |2x - 3|>9 x<-3 and x>6 Hence, the solution is : (--:-3) (6.0).