Pre-Calculus Answer Completion and Graphing

Pre-Calculus
Name:
Institution:
25th July 2018

Answer completion
1. K represents the y-intercept
2. Y values that are negative
3. All the non-negative real values of x
4. X=-11
Chapter 2 Multiple Choice Qs
1. D
2. A
3. C
4. A
5. D
6. C
7. B
8. C
9. C
10. D
11. C
12. B
13. B
14. B
15. C
16. D
17. D

18. D
19. B
20. A
Part 2-Graphing
1. Sketch both f (x) and g(x ) on the graphs below if g ( x ) =f ( x−1 ) +2
a. f ( x ) = √ x
Solution
g ( x )= √ x−1+2
b. f ( x )=− √x
Solution
g ( x ) =− √ x−1+2

2. Determine the domain and range of each function
Equation Domain Range
a. f ( x ) =2 √ −x +3 { x ∈ R : x ≤ 0 } { y ∈ R : y ≥ 3 }
b.
g ( x ) =2 √ 2
3 ( x−2 ) + 2
{ x ∈ R : x ≥ 2 } { y ∈ R : y ≥ 2 }
c. y−2=− √ 3(x +1)
{x ∈ R: x ≥− 5
3 } { y ∈ R : y ≤ 0 }
3. Sketch the graph of each function f ( x ) and then sketch the graph g ( x ) = √ f ( x ) on the axes
below;
i) f ( x )=x +2