Download Name Date Due

Name ______________________________________
ALG2RCC Regents Review #1
DUE DATE:
Directions:
Choose the best answer. Answer ALL questions. Show ALL work in
column 2. If there is no mathematical work to be shown, write an explanation or
definition to support your answer! This counts as a quiz grade!!!
1. Factor completely: 4a2- 4
1.
2.
3.
4.
Show your steps of the process!
(2a 8)(2a + 8)
4(a 8)(a )
4(a 4)(a + 4)
4(4 - a)( 4+a)
2. If f (x) = x - 3 and g(x) = x3, then f (g(3)) is Show your work!
1. 0
2. 6
3. 24
4. 30
3. Which graph of a relation is also a
Explain your choice.
function?
4. Which is an equation of the inverse of
y=
1. y =
x?
x
3. y = 3x – 2
2. y = - x
4.
Show your work!
5.
For which positive value of x is the
function
undefined?
1. 5
2. 9
3. 45
4. 0
6. Which diagram represents a relation in
which each member of the domain
corresponds to only one member of its
range?
7. The height of an object, h(t), is determined
by the formula h(t) = -16t2 + 256t, where t
is time, in seconds and h(t) is in feet.
Which statement about the object is true?
1.
2.
3.
4.
Explain your choice.
Explain your choice or show work.
The object will reach a maximum height.
The object will reach a minimum height.
The height of the object will not change.
The maximum height is 256 ft.
8. If point (a, b) lies on the graph y = f(x), the
graph y = f -1(x) must contain point
1.
2.
3.
4.
Show your work!
(b, a)
(a, 0)
(0, b)
(-a, -b)
Explain your choice.
9.
Show your work!
Solve the equation for x:
5  3( x  6)  2( x  6)
1) -7
2) 7
3) 1
4) 
1
5
10. Which diagram represents a one-to-one
function?
Explain your choice.
11. Which graph represents the solution set of
 x  3 or x  4 ?
Explain your choice.
12. Give the domain and range of this function:
f ( x)  x 2  2 x  15
13. State the intervals where this function is
positive?
14. Which point is not on graph represented by
y = x2 + 3x – 6?
Explain your choice.
1) (-6, 12)
3) (2, 4)
2) (-4, -2)
4) (3, -6)
15. Let f be a function such that f(x) = 2x – 4 is Explain your choice and/or show work
defined on the domain 2  x  6 . The range
of this function is
1) 0  y  8
3) 2  y  6
2) 0  y  
4)    y  
Show your work!
16. The zeros of the function
2
f(x) = (x + 2) - 25 are
1) -2 and 5
3) -5 and 2
2) -3 and 7
4) -7 and 3
17. The function h(t) = -16t2+144 represents the Explain your choice and/or show work
height, h(t), in feet, of an object from the
ground at t seconds after it is dropped. A
realistic domain for this function is
1)  3  t  3
3) 0  h(t )  144
2) 0  t  3
4) all real numbers
18. State the intervals where the function is
decreasing?
19. Name the parent function and write its
equation.
20. Give the domain of this function:
f ( x)  2 x  5
Show your work!