Pre-Calculus

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1.Given f(x) = 3(x^2) + x, find ( f(2+h) - f(2) )/h

2.Find the domain of the radical of (4 – x) and explain your answer.

3.Graph each function (reminder: show scales on the axes) and find the domain and range of (a) f(x) = -2((x-3)^2) + 4 and (b) f(x) = x^2 – 8

4.Find a rule for a linear function given f(4) = -2 and f(- 4) = 7

5. In a linear depreciation situation, find a rule for V (t), the value of a piece of equipment, assuming the at time t = 0 is $90000 and that the value after 12 years is $18000. (Reminder: list and describe the variables and also give the domain of V (t).)

6.A projectile is thrown up from a height of 40 feet with an initial velocity of 128 ft/sec. its height h(t) = -16(t^2) + 128t +40. Find the maximum height and the time when the projectile reaches its maximum height. (Reminder: list and describe the variables and include units of measurement in your answer.)

7.Find the equation of the line perpendicular to y = -5x+2 through (-1, 4).

8.For each function, graph the basic function and the transformed function on the same axes, and describe the transformation. (Reminder: show scales on the axes and label the graphs.) (a) Basic y = |x|, transformed y=|x| -2

(b) Basic y = x ^3, transformed y = (x/2)^3

9.Find the domain of the formulas (a) V(r) = 4/3 times pi(r^3) (b) S(r) = 4 time pi(r^2) (c) r(s) = the radical of (5/(4 time pi)) (d) V(s) = (1/3) times the radical of ((S^3)/ (4 time pi))

10. Find the equation of the tangent to the circle x^2+ y^2= 25 at (-3, 4).

1.Given f(x) = 3(x^2) + x, find ( f(2+h) - f(2) )/h

2.Find the domain of the radical of (4 – x) and explain your answer.

3.Graph each function (reminder: show scales on the axes) and find the domain and range of (a) f(x) = -2((x-3)^2) + 4 and (b) f(x) = x^2 – 8

4.Find a rule for a linear function given f(4) = -2 and f(- 4) = 7

5. In a linear depreciation situation, find a rule for V (t), the value of a piece of equipment, assuming the at time t = 0 is $90000 and that the value after 12 years is $18000. (Reminder: list and describe the variables and also give the domain of V (t).)

6.A projectile is thrown up from a height of 40 feet with an initial velocity of 128 ft/sec. its height h(t) = -16(t^2) + 128t +40. Find the maximum height and the time when the projectile reaches its maximum height. (Reminder: list and describe the variables and include units of measurement in your answer.)

7.Find the equation of the line perpendicular to y = -5x+2 through (-1, 4).

8.For each function, graph the basic function and the transformed function on the same axes, and describe the transformation. (Reminder: show scales on the axes and label the graphs.) (a) Basic y = |x|, transformed y=|x| -2

(b) Basic y = x ^3, transformed y = (x/2)^3

9.Find the domain of the formulas (a) V(r) = 4/3 times pi(r^3) (b) S(r) = 4 time pi(r^2) (c) r(s) = the radical of (5/(4 time pi)) (d) V(s) = (1/3) times the radical of ((S^3)/ (4 time pi))

10. Find the equation of the tangent to the circle x^2+ y^2= 25 at (-3, 4).

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