Plot the folwing points and form the triangle ABC. Verify that the triangle is a right triangle or not?

1 ,for the following function, local maxima and local minima if any in the interval (-1,3), also determin whether the function is increasing F(x)= x^3-3x^2+5

2, Find the center (h,k) and radius r of the following circle, by hand graph the circle x^2+y^2-19x-y4=0

b, for function f(x) =x^3-x^2-x, find f(x+h)-f(x)/h

4, For the function f(x)= -x+19 if -10 <x<0

=10 if x =0

2x if x>0

5, find the function that is finally graphed after the following transformations are applied to the graph y=sqt x

1, reflect about the x axis

2, shift left 17 units

3, shift down 10 unit

6, Determine without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. F(x) =-x^2-9x-5

7, solve the inequality. verify your result using graphing utility x^2-18x-15 greater than 0

8, use the reminder theorem to find the remainder when f(x) is divided by x-2. then use the factor theorem to determine whether x-2 is a factor of f(x). if x-2 is a factor of f, write f in factored form. f(x) = 4x^3-3x^2-8x+4

B, form a polynomial f(x) with real coefficients having the given degree and zeros. degree 6: Zeros i, 4-i,2+i

12, solve the following system of equations by substitution method -10x+y=15

x-3y=-8

13, solve the following system of by matrix method using calculator

2x+2y=6

3x+3y+3z=1

3x+4y-z=13

13, find the value of the 3 by 3 determinant

7 0 -1

4 9 2

8 -6 3

15, for the matrices , find A-B

A= 7 4 0 -3

0 11 2 3

B=-3 14 0 1

8 8 2 4