Pre-calculus test

MAC 1147 TEST 2

please print your name

1. Graph the following:

A. y= √𝑥 − 2 D. y= ( x +2 )2 +3

B. y = -| x +6 | +1 E. y = x2 - 2

C. y = √1 − 𝑥 F. y = x1/3+ 2

2. Graph the following piecewise functions

A. f(x) = 4x + 2 x < - 1

= -2x +1 x≥ −1

=

B. f(x) = X2 - 2 x ≥ 0

= -x2 +2 x < 0

3. A. Given f(x) = - x2 +6x -8

B. Given f(x) = x2 - 4x

x-int

y-int

vertex

max/min

domain

range

graph

4. The revenue at Samani Academy of Mathematics can be formulated as r(x) = -.02x2 +20x + 100000 in which X is the number of students.

A. How many students will maximize profit? _________________

B. What is the maximum profit? _________________

5. You have 1500 feet of fencing available to enclose a backyard. You are not putting fence by the side of the house. What dimensions will maximize the area? And what is the max

area?

6. 900 ft of fencing is available to enclose a garden. A fence is constructed parallel to the width to divide the field into two parts. What dimensions will maximize the area? What is

the maximum area.

7. The model H(t) = -16t2 +256t represent a rocket fired with speed of 288 ft/sec. A. At what time will the rocket reach the maximum height?

B. What maximum height does the rocket reach?

C. when will the rocket hit the ground?

8. Solve the following: Answer in interval nitation

A. x2 – 3x - 10 > 0

B. 2𝑥+8

𝑥−3 ≥ 0

9. Find horizontal and vertical Asymptotes:

A. f(x)= 2𝑥+6

𝑥2−𝑥−6

B. f(x) = 𝑥2

𝑥2+1

10. Given each function, answer the following questions

A. y = 𝑥−2

𝑥−5

B. y = 2

𝑥 + 3

VA

HA

Domain

Range

graph

!5. Find domain, range, VA, HA, and graph each function

A. y = − 3𝑥

𝑥2 −𝑥−6

B. y = 2

𝑥2−4