Math 1330 ONLINE
Review Problems โ Midterm
In addition to these problems, you should do the practice midterm thatโs available at
casa.uh.edu. It is not for extra credit; however, if you score 80% or better on the practice
midterm, Iโll scale your score out of 20 and use it to replace a missing or low homework.
The midterm covers Chapters 1 โ 3 and 8.
Here are some sample free response questions. Iโll post solutions soon.
1. State the transformations needed to graph this function. State the transformation of
the key point, and make sure you label it on your graph.
A.
( ) 5 1
f x x
= โ โ + +
B.
( ) 3 2
f x x
= โ + โ
2. Find the x intercept(s), y intercept(s), asymptote(s), transformation of the key point,
domain and range, and graph. State whether the function is increasing or decreasing.
A.
2
( ) 3 27
x
f x
+
= โ
B.
3
( ) 2 8
x
f x
โ
= โ +
3. Find the x intercept(s), y intercept(s), asymptote(s), transformation of the key point,
domain and range, and graph. State whether the function is increasing or decreasing.
A.
2
( ) log ( 1) 3
f x x
= โ โ +
B.
( ) ln( 2) 3
f x x
= + โ
4. Find the x intercept(s), y intercept(s), degree, leading coefficient, and graph. Make
sure your graph shows the correct behavior through each x intercept and correct end
behavior.
A.
( )( )( ) ( )
2 3
( ) 2 3 1 1 2
f x x x x x= โ โ + โ โ
B.
( ) ( ) ( )
3 2 3
( ) 3 1 1 2
f x x x x x
= โ โ + โ
5. Find the vertex, focus, equation of the directrix and focal width. Also, state the
direction the parabola opens (left, right, up or down). Then use all information to sketch
the parabola.
A.
2
16
y x
= โ
B.
( )
2
5 12( 1)
x y
โ = +
