Section 2.2 Power Functions with Modeling Assessment
1. Is E(m)=mc² a power function, and if it is a power function what is the power and
constant of variation?
a. No, not a power function
b. Yes, Power: 1, Constant: c²
c. Yes, Power: c², Constant: 1
d. Yes, Power: 2, Constant: 1
2. Is f(x)=8*9ˣ a power function, and if it is a power function what is the power and
constant of variation?
a. No, not a power function
b. Yes, Power: x, Constant: 8
c. Yes, Power: 9, Constant: x
d. Yes, Power: 9ˣ, Constant: 8
3. Is y=-8x³ a monomial function, and if it is monomial function what is the degree and
leading coefficient?
a. No, not a monomial function
b. Yes, Degree: 3, Coefficient: -8
c. Yes, Degree: -8, Coefficient: 3
d. Yes, Degree: x, Coefficient: -8
4. Is y=3xˉ³ a monomial function, and if it is monomial function what is the degree and
leading coefficient?
a. No, not a monomial function
b. Yes, Degree: -3, Coefficient: 3
c. Yes, Degree: 3, Coefficient: -3
d. Yes, Degree: x, Coefficient: 3
5. Which of these equations models the following statement? The energy E produced in a
nuclear reaction is proportional to the mass m, with the constant of variation being c²,
the square of the speed of light.
a. E=c²+m
b. E=mc²
c. M=ec²
d. c²=Em
6. Which of these equations models the following statement? The current I in an electrical
circuit is inversely proportional to the Resistance R, with the constant of variation V.
a. R=VC
b. V=R+C
c. I=V/R
d. C=R*V
7. Which of the following graphs matches the equation of f(x)=(-2/3)x⁴?
a.
b.
c.
d.
8. What is the power function f(x)= −5x 4 ?
a. Odd
b. Even
c. Neither
9. What is the power function f(x)= 36x 63 ?
a. Odd
b. Even
c. Neither
10. Write the equation of the linear function that satisfies the given conditions: f(4)=40 and
f(8)=55.
15
a. y-4= 4 (x-40)
4
b. y-55=15(x-8)
15
c. y-40= 4 (x-4)
4
d. y-8=15(x+55)