Assignment On Math 107 Problems

Running head: MATH 107 ASSIGNMENT 1
MATH 107 Assignment
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MATH 107 ASSIGNMENT 2
MATH 107
1. Consider the points (5, –2) and (–1, 4).
(a) State the midpoint)
Solution
midpoint= ( x1 + x2
2 , y1 + y2
2 ) =( 5+ ( −1 )
2 , −2+ 4
2 ) = ( 2 ,1 )
(b), find the length of the radius of the circle.
Solution
Length of the ̊¿ Magnitude ¿ point ( 2,1 ) ∧ ( 5 ,−2 )
¿ √ ( 5−2 )2 + ( 1−−2 )2
¿ √ 32 +32
¿ √ 18
¿ √ 9 x 2
3 √ 2units
2. a) Answer(s): _Graph (A) and (B) are graphs of functions
(A) (B)

MATH 107 ASSIGNMENT 3
b) If one imposes additional conditions, they all can become functions.
conditions
Vertical line test thus a function has only one output value for each input value
3. Consider the following graph of y = f (x).
(a) State the domain.
all x−values
domain ∈ [−1 , 6 ]
(b) State the range.
All y −values
Range ∈ [−3 , 2 ]
(c) State the x-intercept(s).
x=−1
x=1
x=5
(d) State the y-intercept(s).
y=−3
4. Let f ( x ) = x +5
( x−2 ) 2
(a) State the domain of the function f ( x ) = x +5
( x−2 ) 2
Solution
f ( x )= x +5
x2−4 x+ 4
the domains are(−∞ ,2)∪(2, ∞ )
(b) Calculate f ( −3 ). (work optional)
f (−3 )= −3+ 5
(−3−2 )2 = 2
25 =0.08