Find the equation of the line that passes through the following points, thus indicating the slope and the ordinate at the origin: 1.5 points.

a) A(- 2, - 5) B(- 4, 3) b) C(- 3,- 1) D(5, - 4)

2. Find the domain of the following functions: 1.5 points.

a) f(x) = (3x + 2)/(x ^ 2 - 2x - 3)

b) b(x) = sqrt(x ^ 2 - 2x - 3)

3. Express as a piecewise defined function. 1.5 pointsy = |2x + 1| -|2-x|

4. Find the inverse function of: 3 points.

a) f(x) = ln(x + 3)

b) g(x) = 3 + 4 * 5^x

c) h(x) = 3x - 1

d) m(x) = (2x + 1)/(x - 3)

5. Find the quadratic interpolation function that passes through the points (1, - 1); (- 2, 23) * y(3, 13) Determine with it the value corresponding to these values. 1.5 points.

a) x = 3

b) x = -2

6. Graph the function y = x ^ 2 - 2x - 3 1 point.

Answer rating: 100% (QA)

1 a To find the equation of the line passing through points A2 5 and B4 3 we can use the pointslope form of a linear equation First lets find the slope m m y2 y1 x2 x1 3 5 4 2 8 2 4 Now we can choose ... View the full answer