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General Santos Hope Christian School Block 8, Dadiangas Heights General Santos City
First Quarter Examination General Mathematics ABM and STEM STEM 11 SY: 2017 – 2018 Name: ____________________________ Teacher: Rogelio B. Pontejo I.
Score: _________
PROBLEM SOLVING : Solve the following items as specified.
1 – 6. Evaluate the function at each specified value of the independent variable and simplify. f ( x) x 2 1 a.
b.
f (3)
c.
f ( x 1)
f (b 3 )
7 – 14. Evaluate the function at each specified value of the independent variable and simplify.
2 x 1 f ( x) 2 x 2
a.
f (2)
x 1 x 1
b.
f (1)
c.
f (0)
d.
f ( 2)
1
15 – 20. Find the domain of the given function. Use interval notation! 2 x x 1 f ( x ) g ( x ) a. b. c. f ( x) 2 x 2 x 1
x
2
16
21 - 26. Determine algebraically if the function is even, odd, or neither. Verify using a graphing utility if possible. a.
f ( x) x 2
27 – 32. Given f ( x) a.
3 2 x ,
( f g )(4)
f ( x) x 2
b.
6
b.
g ( x )
x
6x 4
and h( x) 3x 2
( f h)(5)
c.
c.
f ( x) x 3
3 x
2 . Find the indicated values.
( fh )(1)
2
33 – 38. Find the inverse of the function algebraically.
f ( x )
a.
7 x 3 8
f ( x) 4 x 3
b.
3
c.
f ( x )
x 10
39 – 44. Solve the following equations for x. a. 12 x
2
12
25 x
b.
x
2
4x
7
2
3 x
c.
x
2
6 x 18
0
45 – 46. Solve each exponential equation: a. 3
8
x
27
2
b. 4 32
x
47 – 48. Solve for x: a.
log 2 x
4
b.
log 3 x 2
5
log 3 4 x 2
2 x
3
49 – 50. Solve for x:
a.
II.
e
2 x
3e
x
2
0
b.
9 x
3
27 x
81
GRAPHING.
51 – 55. Graph y
x
3 and
1 y 3
x
on the same set of axes.
How are the graphs related?
56 – 60. Sketch the graph of the equation ( without a graphing calculator ). Use the zeros of the function and the end behavior of the function.
f ( x) x 2 ( x 1)( x 2)
4
61 – 65.
Graph
x 2 if x -1 f ( x) x 2 if - 1 x 1 1 if x 1
66 – 70. Water freezes at 00C or 320F. It also boils at 100 0C or 2120F. Plot the points in the coordinate plane and determine the equation of the line that connect the two points. Explain its importance.
