6569271
Question 1
Question
The two functions f and g defined by f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive are equal?
Answer
- True
- False
Question 2
Question
If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by
Answer
-
The union of Df and Dg
-
The intersection of Df and Dg
-
The intersection of Df and Dg without the zeros of function g
-
None of the above
Question 3
Question
The graph of f(x) and that of f(x + 2) are the same.
Answer
- True
- False
Question 4
Question
Let the closed interval [a , b] be the domain of function f. The domain of f(x - 3) is given by
Answer
-
the open interval (a , b)
-
the closed interval [a , b]
-
the closed interval [a - 3 , b - 3]
-
the closed interval [a + 3 , b + 3]
Question 5
Question
Let the interval (a , +infinity) be the range of function f. The range of f(x) - 4 is given by
Answer
-
the interval (a - 4 , +infinity)
-
the interval (a + 4, +infinity)
-
the interval (a, +infinity)
-
None of the above
Question 6
Question
The equation y = | x | , with y >= 0, represents y as a function of x.
Answer
- True
- False
Question 7
Question
The equation x = | y | , with x >= 0, represents y as a function of x.
Answer
- True
- False
Question 8
Question
(x+4)^2+(y−6)^2 =48
What is its center?
Answer
-
(4,6)
-
(-4,-6)
-
(-4,6)
-
(4,-6)
Question 9
Question
(x+9)^2+(y−46)^2 =123
What is its radius?
Answer
-
11.09
-
6.78
-
3
-
12.34
Question 10
Question
(x−0.5)^2+(y−3.5)^2=16
The center is (0.5, 3.5)
Answer
- True
- False
Question 11
Question
Fill in the blanks with the correct answers.
center (0,5) r=4
x^2+(y-5)^2=[blank_start]16[blank_end]
Answer
-
16
Question 12
Question
Center(2,-3) r=[blank_start]3[blank_end]
(x-2)^2+(y+3)^2=9
Answer
-
3
Question 13
Question
FOCI: The formula in solving a>b is c^2=b^2-a^2
Answer
- True
- False
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