CW1-Ch. 1 & Ch. 2
1. Let 𝑓(𝑥) = √2𝑥 + 3. Find
(
2. Let 𝑓(𝑥) = #$). Find
!(#$%)'!(#)
%
!(#$%)'!(#)
%
and simplify by canceling the factor of ℎ.
and simplify by canceling the factor of ℎ.
CW-Ch.1 & 2
2
|𝑥 + 2| if 𝑥 ≤ −1
3. Graph 𝑓(𝑥) = + 3𝑥
if − 1 < 𝑥 ≤ 0
2 − 𝑥 ( if 𝑥 > 0
4. Let 𝑓(𝑥) = −√2𝑥 − 5. Find f −1 .
2
CW-Ch.1 & 2
5. Determine algebraically that whether 𝑓 (𝑥 ) =
3
!" ! #$
is an even or odd function.
""
f(x) is an __________________function since _________________________.
6. Write the equation in both slope-intercept and standard form of the line that
(a) passes through the point (-1, 4) and parallel to the line x + 3y = 5
(b) passes through the point (2, 6) and perpendicular to the line x + 3y = 5
3