Calculus(P)
Name _____________________________
Sec 1.1-1.4 Review
Period ______
Find the distance between the two points.
1. (4, -7), (-5, 3)
Find the midpoint of these two points.
2. ( , 1), (- , -5)
Find x so the distance between the two points is 5.
3. (2, -1), (x, 2)
Find the x and y intercepts.
4. y = 6x2 – x – 1
5. x2y – x2 + 4y = 0
Write the general form of the equation of a circle.
6. Center (2,-1), radius 4
7. Endpoints of the diameter (-4, -1), (4, 1)
Write the equation of a circle in standard form and state the center and radius.
8. x2 + y2 – 2x + 6y + 6 = 0
9. 2x2 + 2y2 – 2x – 2y – 3 = 0
10. Find the points of intersection for x2 + y – 4 = 0 and 2x – y = 1
11. Find the sales revenue necessary to break even for the given cost and revenue
equations.
C = 8650x + 250,000
R = 9950x
12. Find the equilibrium point for the supply and demand market.
Demand y = 190 – 15x
Supply y = 75 + 8x
Find the slope.
13.
,
Write the equation in general form for the line that passes through the points.
14. (2, 3), (-2, 2)
Write the equation in slope intercept form that meets the following description.
15. Parallel to 4x – 2y= 3, goes through (2, 1)
16. Perpendicular to 5x + 3y = 0, goes through (-6, 2)
17. Perpendicular to 4y – 7 =0, goes through (-2, 1)
State yes or no whether the equation is a function.
18. x2 – y – 3 = 0
19.
x + 2y = -4
20. x2y – 2x = 1
Evaluate the function.
21. f(x) = x2 – 2x + 2
a). f(-1)
b). f(x +
22. f(x) = x2 + 4x
a). f(-2)
b).
)
Find each of the following.
23. f(x) = 2x – 5, g(x) = 2 – x
a). f(g(x))
b). g(f(x))
Find the inverse.
24. f(x) = x3 + 1
25. f(x) =
26. f(x) =
27. Use a graphing utility to approximate the x and y intercepts. y = -.56x2 – 5.34x + 6.25.
Use the window, -15 to 5 for x, and -2 to 5 for y.
28. A company constructs a warehouse for $825,000. The warehouse has a useful life of 25
years after which its value is expected to be $75,000. Write a linear equation. let t =
represent time in years.
29. A high school had 2546 students in 1998 and 2702 in 2001. If the enrollment follows a
linear growth pattern, how many students will the school have in 2004?