(MATH 114N Week 7 Test 3-Chapter 16)
1. Question: Determine the domain and range of the relation, and tell whether the relation is a function.
2. Question: Find all square roots of 49.
3. Question: Find the square root.
4. Question: Graph the quadratic equation by plotting points.
y = (x – 3)2
5. Question: Use the quadratic formula to solve the equation.
0.7x – 0.6×2 = – 1
6. Question: Use the square root property to solve the equation.
t2 = 27
7. Question: Decide whether y is a function of x.
y = – 3x – 3
8. Question: Identify the given number as “Rational,” “Irrational,” or “Not a real number.” If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousands.
9. Question: Determine whether the relation is a function. Explain.
x = – 9
10. Question: Sketch the graph of the parabola. Find the coordinates of the vertex.
y = – x2 + 4x – 10
11. Question: Determine whether the graph to the right is a function.
Using the vertical line test, is this the graph of a function?
12. Question: Simplify the radical.
13. Question: Find the length of the unknown side of the right triangle with legs a and b and hypotenuse c.
a = 15, c = 39
14. Question: Use the product and quotient rules, as necessary, to simplify the radical expression.
15. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
4m15n10
16. Question: Give the coordinates of the vertex. Sketch the graph of the equation.
y = x2 – 1
17. Question: Find the square root.
18. Question: Simplify the radical.
19. Question: Given the function f(x) = x2 – x + 8, find each of the following.
f(1), f(- 9), f(0)
20. Question: Solve the equation by using the square root property. Simplify all the radicals.
(5k + 4)2 = 36
21. Question: Using the quadratic formula to solve the equation.
– 2×2 = – 3x + 2
22. Question: The length of a rectangle is 40 meters, and the width is 9 meters. Find the measures of the diagonal of the rectangle.
23. Question: Given the function f(x) = 4x + 7, find each of the following.
f(6), f(- 4), f(0)
24. Question: Simplify the radical. Assume that all variables represent nonnegative real numbers.
8
25. Question: Solve the equation by using the square root property. Simplify all radicals.
