MAT/117 MAT117 MAT 117 WEEK 6 QUIZ
1 If f ( x )   =   x 2 − 1 ⢠and g ( x ) = x − 1 , which expression represents f ( x ) g ( x ) for x>1?
• x + 1
• x − 1
• x
• 1 x + 1
2
• 121.2 feet
• 57.4 feet
• 85.7 feet
• 229.6 feet
3.
•
2 < x ≤ 10
•
x > 20
•
x < 2
•
10 ≤ x < 20
4.
Nancy made the following statement:
The range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers.
Which produces a counter example to her statement?
•
a < 0
•
b < 0
•
a = 0
•
b = 0
5.
Consider the equations:
f(x)=−6x−1f(x)=−6x−1 and g(x)=4x2g(x)=4x2
Select the solution for (f+g)(x)(f+g)(x).
•
−6x−1+4x2−6x−1+4x2
•
−24x3−4x2−24x3−4x2
•
−24x2−1−24x2−1
•
−6x−1−24x2−6x−1−24x2
6.
Consider the equations:
f(x)=−6x−1f(x)=−6x−1 and g(x)=4x2g(x)=4x2
Select the solution for (fg)(x)(fg)(x).
•
−6x−1+4x2−6x−1+4x2
•
−24x3−4x2−24x3−4x2
•
−24x2−1−24x2−1
•
−24x5−24x5
7.
Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -5x2 + 3x +4.
•
4
•
-
8.
Determine the equation of g(x) that results from translating the function f(x) = x2 + 3 upward 7units.
•
g(x) = (x + 10)2
•
g(x) = (x + 7)2 + 3
•
g(x) = x2 - 4
•
g(x) = x2 + 10
9.
Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 14units.
•
g(x) = (x - 6)2
•
g(x) = (x + 22)2
•
g(x) = (x + 8)2 - 14
•
g(x) = (x + 8)2 + 14
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