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Practice final for PSC F2022

its a practice quiz

Course

College Algebra (MATH 113)

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Pittsburg State University

Academic year: 2019/2020

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Practice Final for Prep for Scientific Calculus Fall, 2022

State the domain and range for each of the following:

Function Domain Range

1. f(x) =

2. f(x) = x 2 + 7

3. f(x) =

Find and confirm the inverse to the following function:

f(X) = 5X 2 - 3

State if the following functions are odd, even or neither:

f(X) = - 3X 3 6. f(X) = 2X 3 - 7
f(X) = -X 2 + 2 8. f(X) = X 2 - 8

Find the composite functions if f(x) = 3x + 1, g(x) = x 2 and h(x) = -x:

f(g(h(2))) 10. f(g(h(-3)))
Graph the function.
Graph the function.
f(x) =

Holes: _______________

Vertical asymptotes(s) : ___________________

Horizontal asymptote: ___________________

Function: f(x) = -3(x + 1) 2 + 2

Vertex:

Direction: Points:

Function: f(x) = x 2 – 8x + 19

Vertex:

Direction: Points:

Points:

Slant Asymptote: _____________________

Y-intercept: _____________________

X-intercept(s): ____________________

Graph:

log(X 2 – 25) – log (X + 5) = 2
ln(10 – X) + ln( - 6 – X) = ln( - 34 – 15X)

A(t) = A 0 (1 + )nt A(t) = A 0 ekt

How much money will Alice have at the end of 20 years if she invests $10,000 in an account with an APR of 6% that compounds weekly?
If John invests $25,000 into an account with an APR of 5% compounding continuously, how long will it take for his balance to be $40,000?
Carbon 14 is a radioactive isotope that geologists use to date rocks and minerals. The mass of a sample of carbon 14 decays exponentially. After 1,845 years, a sample of carbon 14 has decayed to 80% of its original mass. Find the half-life of carbon 14.
The top and bottom ends of a windshield wiper blade are 26 in. and 9 in. respectively from the pivot point. While in operation, the wiper sweeps through 140 degrees. Find the area swept by the blade.

28. sin 3 ɵ + cos 2 ɵsinɵ

29. A gardener has a triangular field with sides 9 yards, 12 yards, and 15 yards. Find the angles of the

field in degrees.

FTwo surveyors are determining the distance to a tower located between them but across the river. The first one determines that the line of sight to the tower makes an angle of 80° with the bank of the river. 325 m downstream another surveyor determines his line of sight to the tower is 45° to the tower with the river. How far is each surveyor to the tower?

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