MATH 1050 Salt Lake Community College if The Following Functions Are Even Exam

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Homeowrk is a file i attached.I need help with this homework, must show work to understanf how to do the homework please.

Math 1050 HW #1 – Sections 1.1 and 1.2
Name: ___________________________________
1. Determine if the following functions are even, odd, or neither by finding f ( − x ) and − f ( x ) . Recall that a
function f is even if f ( x ) = f ( − x ) or odd if − f ( x ) = f ( − x ) .
3x
x +1
a.
g ( x) =
b.
f ( x) = x 2 − 1
c.
h( x ) = 1 − x
2
2. An even function is symmetric about the y-axis and an odd function is symmetric about the origin. What can you
conclude about the symmetry of the functions in parts a, b and c from problem 1?
220t
0  t  0.5 hrs

110
0.5  t  2.5 hrs

3. The velocity of a train in miles per hour is given by v(t ) =  100t − 140
2.5  t  2.75 hrs

135
2.75  t  3.75 hrs

−270t + 1147.5 3.75  t  4.25 hrs
a. Graph this function. (Your graph should be connected.)
1
2
b. What does v   equal?
c. What is the speed of the train at the following times?
One hour
Two hours
Three hours
Four hours