Trig Applications
Exponentials & Logs 1
Potpurri
Functions 1
Functions 2
100

In triangle PQR, p equals

(2) 

(r sinP)/sinR

100

What is the horizontal asymptote of the exponential function below?

y=3(2)^x-8

y=-8

100

This US state is the only one whose name can be typed using a single row on a standard QWERTY keyboard.

Alaska

100

What is the range of the function shown below in interval notation? 

(-infty,0]

100

If f(x) = x2-5 and g(x)=6x, then g(f(x)) is equal to? 

6x^2-30

200
In triangle ABC, a = 3, b = 5, and c = 7. What is the measure of angle C?

120

200

What is the vertical asymptote of the function below?

f(x)=4log_2(x-5)+8

x=5

200

What is the slant asymptote of the function below?

frac{9x^3+5x^2-8x-5}{2x^2-3x+1}

y=9/2x+37/4

200

Which graph represents a one-to-one function? 

(3)

200

The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point on the graph of the equation y = f(x) + 5?

(-1, 2)

300

A ranch in the Australian Outback is shaped like triangle ACE, with the following given information. Find the area of the ranch to the nearest square mile. 

mangleA=42, mangleE=103, and AC=15 miles

44

300

Solve the equation below for x to the nearest thousandth. 

2e^(0.49x)=15

4.112

300

What are the three rules for finding horizontal asymptotes of rational functions?

-if n>d, no HA

-if n<d, y=0

if n=d, y=Lc/Lc

300

A is subtracted from B. What is the result? 

A=3/2x^2-1/4x-4

B=5/2x^2-3/4x+1

x^2-1/2x+5

300

If g(x)=0.5x+8 and h(x)=0.5x-2, what is the value of g(h(-8))? 

5

400
In triangle ABC, angle A = 74, a= 59.2, and c = 60.3. What are the two possible values for angle C, to the nearest tenth? 

78.3 and 101.7

400

Harper deposits $5300 into a high-yield CD that earns interest at a rate of 4.3% compounded monthly. How much is her investment worth after 2 years to the nearest cent?

$5775.09

400
This aquatic animal has three hearts, two to pump blood to the gills and a third to circulate it to the rest of its body. 

Octopus

400

Given the function below, what is its horizontal and/or slant asymptote? 

f(x)=frac(4x^3-5x^2+8x-5)(2x^2 -4x+3)

Slant: 

y=2x+3/2

400

For the function below, what are the domain and range?

y=3/sqrt(x-4)

Domain: x>4

Range: y>0

500

Two sides of a parallelogram measure 27cm and 32cm. The included angle measures 48 degrees. Find the length of the longer diagonal of the parallelogram to the nearest centimeter.

54

500

Solve: 

log(x-3)-log(x-5)=Log(5)

11/2

500

The table below shows the number of reported polio cases in Nigeria from 2006 to 2015. What is the average rate of change, to the nearest hundredth, of the number of reported polio cases per year in Nigeria from 2006 to 2013?

-153.71 cases/year

500

Identify the hole(s) and/or vertical asymptote(s) of the function below. 

f(x)=(3x^2-5x-28)/(2x^2-3x-20)

Hole: (4, 19/13)

VA: x=-5/2

500

The two relations shown below are not functions. Explain how you could change each one so they they each become a function. 

Answers will vary. 

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