Question #1
Label all Asymptotes
• Graph the expression and label the Domain and Range:
1
𝑦=
+4
𝑥−3
Question #2
Label all Asymptotes
• Graph the expression and label the Domain and Range:
4
𝑦=
−7
𝑥+5
Question #3
Label all Asymptotes
• Graph the expression and label the Domain and Range:
−1
𝑦=
−6
𝑥
Question #4
Label all Asymptotes
• Graph the expression and label the Domain and Range:
3𝑥 + 5
𝑦=
𝑥 −2
Question #5
Label all Asymptotes
• Graph the expression and label the Domain and Range:
4𝑥 − 3
𝑦=
2𝑥 + 8
Question #6
Label all Asymptotes
• Graph the expression and label the Domain and Range:
1
𝑦=
+4
𝑥−3
Question #7
Identify the restrictions
• Simplify the following expression
1
4
∗
𝑥 − 4 3𝑥
4
3𝑥 2 − 12𝑥
Question #8
Identify the restrictions
• Simplify the following expression
2
𝑥 − 5𝑥 − 14
𝑥+5
∗
2
2
𝑥 −4
𝑥 − 2𝑥 − 35
1
𝑥−2
Question #9
Identify the restrictions
• Simplify the following expression
2
𝑥 − 3𝑥 − 4
𝑥+1
÷ 2
𝑥−6
𝑥 − 3𝑥 − 18
(x + 4)(x – 3)
Question #10
Identify the restrictions
• Simplify the following expression
3𝑥
−6
+
2
𝑥 + 𝑥 − 12 𝑥 + 4
−3(𝑥 − 6)
(𝑥 + 4)(𝑥 − 3)
Question #11
Identify the restrictions
• Simplify the following expression
2
𝑥
−5
𝑥+3
−
2
𝑥 + 5𝑥 − 14 𝑥 + 7
−𝑥 + 1
(𝑥 + 7)(𝑥 − 2)
Question #12
• Solve the following expression
9
4
=
3𝑥 𝑥 + 2
x=6
Question #13
• Solve the following expression
−2
𝑥−8
=
𝑥−1 𝑥+1
x=2
Question #14
• Solve the following expression
𝑥 + 1 1 2𝑥 + 1
+ =
𝑥+6 𝑥
𝑥+6
x = -2, 3
Question #15
• Solve the following expression
5
𝑥−3
=
2
+
𝑥2 + 𝑥 − 6
𝑥−2
x = 2.63, -3.3