evaluate the difference quotient for the given function. simplify answer.

1. f(x)= (x+3) / (x+1) , [f(x) - f(1)] / (x-1)

find an expression for the function whose graph is the given curve...

a. the line segment joining the points (1,-3) and (5,7)

b. the line segment joining the points (-5,10) and (7,-10)

c. the bottom half of the parabola x+ (y-1)^2 = 0

d. the top half of the circle x^2 + (y-2)^2 = 4

classify each function as a power function, root function, polynomial (state degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

1a. y= ^x

1b. y= x^

1c. y= x^2 (2-x^3)

1d. y= tan t - cos t

1e. y= s/ (1+s)

1f. y= sqrt(x^3 - 1) / 1+ cube root x

find f g h

f(x) = tan x, g(x) = x/ (x-1), h(x)= cube root x

identify the geometrical structure represented by the following equation. then sketch.

4x^2 + 25y^2 - 24x + 100 y + 36 = 0