2 Algebra Homework to be done

1.5 and 1.6 Homework and each of the with sections and problems to be resolved them

ALL Questions must be solved

8 Pages will be add and every page need to be answer in all the question

Please when you answer make sure to identify the SECTION and the QUESTION

Do not OMIT STEPS..All nee to be show and explain

MATH1513 – College Algebra

Section 1.6 – Graphs of Functions

Homework

Name:

1) Determine analytically if the following functions are even, odd or neither.

a) f(x) = x2-3

b) f(x) = Vx4 + 2

c) f(x) =****

2x

3) Use the graph of y = f(x) given to answer the questions below. Approximate to one decimal

place if needed.

a) Find the domain off.

5

b) Find the range of f.

3+

2+

c) Determine f(1).

1+

1

-2-

2

х

d) How many solutions are there for f(x) = 2?

e) List the x-intercepts, if any exist.

f) List the y-intercepts, if it exists.

g) Does f appear to be even, odd, or neither?

h) List the intervals where fis increasing.

i) List the intervals where fis decreasing.

j) List the local maximums, if any exist.

k) List the local minimums, if any exist.

1) Find the maximum, if it exists.

m) Find the minimum, if it exists.

Algebra

1+2= 3

MATH1513 – College Algebra

Section 1.5 – Function Arithmetic

Homework

=) = – +5

X

X-5

Name: Jesus Villamizar

1) Use the pair of functions fand g to find the domain of the indicated function, then find and

simplify an expression for it.

f(x) = x2 – 4

g(x)

X – 5

a) (f + g)(x) –

f(x) + g(x)

12-4th = x²(x-57-4(X-5)

Domain : x-4t0

TI

XES

1 (x-3) 1(x-3) XS

too, SJU (5,00)

x² = Sx² – 4x+21

b) (f – g)(x)=f()-960)

X-5

X-4-1 = x²(x-S)

ul (x-3)

X-S

X-5

Domain: (rojs) Urs, no)

x² – sx ² – 4x + 1A

c) (f9)(x) f(x) g(x)

x-5

x ² – 4

(x + 2)(x-2) Domoin too, slutso)

x-3

2

x-s

x-5

X-5

a) ( ) (x) = f(x)

gly

X – 4

2.482 x

X->

x -4.x = x – sx ² – 4×120

!

X-5

Domainit asoo)

1+2= 3

= 30x + 100,

4) The monthly cost, in thousands of dollars, to produce x thingamajigs is C(x)

x 20 and the price-demand function, in dollars per thingamajig, is p(x) = 150 – 3x, 0 SXs

50.

a) Find and interpret C(O).

b) Find and interpret C(15).

c) Find and interpret p(25).

d) Find and simplify R(x).

e) Find and simplify P(x).

f) Solve P(x) = 0 and interpret.

MATH 1513 – Co

1.7

2) Use the pair of functions fand g to find the domain of the indicated function, then find and

simplify an expression for it.

f(x) =

g(x) = V4- x

x² – 4

1

Domain’ (-00-2) U (-2; 2) U12

a) (f + g)(x)

I + VH-X

xty

b) (f – g)(x)

c) (f)(x)

1) (1) (3)

(x) (x)+2296)

0+2=2

3+2 is

d

3

s

3

O

f(x) – 2

-S

ع البدر

–

Extra Credit (EC): Find and simplify the difference quotient for the given function. (Look at

part 3 of Example 1.5.2 in the textbook, pg 79.)

f(x) = Vx2 +1