Multiple choice Questions section 1.5
Aidan Lindvig, Craig Freeh, Nate Hutnik
1
Which function is the inverse of the function f(x)=5x - 20?
a g(x)=x/5 + 4
b g(x)=20 + 5x
c g(x)=(20-x)/5
d g(x)=5/(20-x)
2. What is the (x,y) pair for the value of the parameter? x=6t, y=t2 + 8 for t=3
a (18,17)
b (1,-15)
c (25,36)
d (-12,-2)
3. Which graph passes the horizontal line test and that has inverses that are functions?
a
b.
c.
d.
4. Which function is the inverse of the function f(x)=x3 - 8
3
a. g(x)= √x + 8
b. g(x)=√x + 8
3
c. g(x)= √x+2
d. g(x)=8+x3
3
5. Which proves that f(x)=x3 + 2 and g(x)= √x − 2?
3
3
a. f(g(x))=f(√x − 2 ) = (√x − 2)^3)+2= x-2+2=x
3
3
g(f(x))= g(x3+2) =√(x 3 + 2) + 2 = √x 3 + 4
3
b. f(x)=√x − 2, g(x) = x 3 + 2
c.f(x)=15, g(x)=40
3
3
d. f(g(x))=f(√x − 2 ) = (√x − 2)^3)+2= x-2+2=x
3
3
g(f(x))= g(x3+2) =√(x 3 + 2) − 2 = √x 3 = x
6. What is the (x,y) pair for the parameter? x=3t -2, y=t2-2 for t=2
a. (36,21)
b. (4,2)
c. (32,8)
d. (3,9)
7. Today the exchange rate for U.S. dollars (y) to Euros (x) is y=1.33x . How many
Euros would you have for 250 U.S. dollars and what would be the inverse of this equation?
a. 98 Euros, x=1.33y
b. 187.97 euros, y=x/1.33
c. 296.36 euros, y=1.33/x
d. 152.36 euros, y=x
8. What kind of function has every x paired with a unique y and every y paired with a
unique x?
a. inverse function
b. reflection
c. one to one
d. parametric function
9. Find the formula for f-1(x), and give the domain and possible restrictions from f -1 received
by f(x)=5x +10?
a. f-1(x)= 5/x + 2, (negative infinity through positive infinity)
b. f-1(x)=5y + 10 (negative infinity to 5, positive infinity from greater than 5)
c. f-1(x)= 1.5/x - 65, (negative infinity through positive infinity)
d. f-1(x)=x/5 - 2, (negative infinity through positive infinity)
4
10. What is the inverse of the function of f(x)= √x − 4
a. g(x)=x4+4
b. g(x)=x4-4
c. g(x)=x+6
4
d. g(x)= √x + 4
Answer Key
1
2
A
A
3
4
5
6
7
8
9
10
A
C
D
B
B
C
D
A
Sources
1
http://education.ti.com
Calculators and Education Technology by. N.p., n.d. Web. 21 Jan. 2013.
2
http://drootr.com/Calculus/Chapter01/1.4Done.pdf
"Index of /Calculus." Index of /Calculus. N.p., n.d. Web. 21 Jan. 2013.
3 Demana, Franklin D. Precalculus: Graphical, Numerical, Algebraic. Boston: AddisonWesley, 2007. Print.
4
https://teacher.ocps.net/jean.adams/media/13pcf.pdf
"OCPS Teacher Server." OCPS Teacher Web Server. N.p., n.d. Web. 21 Jan. 2013.