1.
F(x) = 4x - 3
f(2)
Correct Answer
C. 5
Explanation
To find the value of f(2), we substitute 2 into the function f(x) = 4x - 3. Therefore, f(2) = 4(2) - 3 = 8 - 3 = 5.
2.
G(x) = 2x + 8
g(3)
Correct Answer
A. 14
Explanation
The given function g(x) is defined as 2x + 8. To find g(3), we substitute x = 3 into the function. Therefore, g(3) = 2(3) + 8 = 6 + 8 = 14.
3.
H(x) = - 3x + 2
h(7)
Correct Answer
B. -19
Explanation
To find the value of h(7), we substitute 7 into the function h(x). So, h(7) = -3(7) + 2 = -21 + 2 = -19. Therefore, the correct answer is -19.
4.
F(x) = - 2x + 4
f(- 3)
Correct Answer
A. 10
Explanation
To find the value of f(-3), we substitute -3 into the equation f(x) = -2x + 4. This gives us f(-3) = -2(-3) + 4 = 6 + 4 = 10. Therefore, the correct answer is 10.
5.
G(x) =
g(6)
11
Correct Answer
C. X-5
Explanation
The given function g(x) is equal to x-5. When g(6) is evaluated, it means that we substitute 6 into the function in place of x. Therefore, g(6) = 6-5 = 1. So, the correct answer is x-5.
6.
H(x) = 5x - 4
h()
36
Correct Answer
A. 8
Explanation
The question is asking for the value of h() when the input is 36. The function h(x) is defined as 5x - 4. To find h(36), we substitute 36 into the function and evaluate it. Therefore, h(36) = 5(36) - 4 = 180 - 4 = 176. However, none of the answer choices provided match this result, so the correct answer is not available.
7.
Evaluate f(-2) if f(x) = x2+ 3
Correct Answer
C. 7
Explanation
To evaluate f(-2), we substitute -2 for x in the given function f(x) = x^2 + 3. Thus, f(-2) = (-2)^2 + 3 = 4 + 3 = 7. Therefore, the correct answer is 7.
8.
Given f(x) = -4x - 10 and f(x) = 10. Find x
Correct Answer
A. X = -5
Explanation
To find the value of x, we need to equate the given function f(x) to 10 and solve for x. By substituting 10 for f(x) in the equation -4x - 10 = 10, we get -4x = 20. Dividing both sides by -4, we find x = -5. Therefore, the correct answer is x = -5.
9.
Evaluate f(-2) if f(x) = -1/2x + 3
Correct Answer
D. 4
Explanation
To evaluate f(-2), we substitute -2 into the function f(x) = -1/2x + 3. So, f(-2) = -1/2(-2) + 3 = 1 + 3 = 4.
10.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
Correct Answer
A. -2, 3, 8, 10
Explanation
The range of a relation refers to the set of all possible y-values or second coordinates in the relation. In this case, the given relation consists of four ordered pairs: (9, -2), (4, 3), (8, 10), and (-4, 8). The second coordinates of these ordered pairs are -2, 3, 10, and 8, respectively. Therefore, the range of the given relation is -2, 3, 10, and 8.