Page 60 - Algebra

8. Find the range of f(x) = x2
a) R b) (–1, 1)
c) [0, ∞) d) (–∞,0]
e) R – [0, ∞)
9. If f(x) = x2 – 4 and g(x) = x + 2, find (f – g) (x)
a) x2–3x + 1 x2 –3x –1 c) x2+ 3x + 1 –( x2 –x–6) e) x2 –x–6
10. Find the value of x for which the functions f(x) = x + 5 and g(x) = 5x2 – 1 are equal. a) 1 or –5 1
b)
d)
11
c) 2 or –
11. Find the range of the function f(x) = |𝑥|.
a) R
c) [1, –1]
12. Find the range of the function f(x) = 𝑥2−3 𝑥2−6
a) R
c) R – {√6,−√6}
−1
e) (-∞, 2 ] 𝑈 (1, ∞)
13.
– 1 or
45 𝑥
e) Cannot be determined
14. Find the domain of the following function f(x) = √15𝑥 + 8 − 2𝑥2 + log (x + 2)
b)
d)
b)
{1, –1} {0, 1}
{1, –1}
1
(-∞,2] 𝑈 (1, ∞)
d)
e) [0, – 1]
Find the domain of the function
𝑒√(𝑥2− 5𝑥−14)
a) R
0
a)– <x≤8 b)–2≤x≤8 2
b)
b)
d)
≤ x ≤ –2
c) –2 < x < 7 d) –7≤ x ≤ 2
e) –2 ≤ x ≤ 7
1
c) x > –2 d) x > 8
e) –2 ≤ x ≤ 8
Page 59 of 177
Algebra I & II