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Math 1050 HW #1 – Sections 1.1 and 1.2

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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

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