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Quiz 2: Non-linear Functions and Derivatives
Please enter your Math Camp iD number here :
1. What is log
_{2}
8? What is e?
a. log
_{2}
8= 4, e=3.14
b. log
_{2}
8= 3 , e=3.14
c. log
_{2}
8 = 4, e=2.72
d. log
_{2}
8= 3, e=2.72
e. Not sure
2. The equation y= -0.125x
^{2}
+0.25x+4 shows the relationship between the numbers of romantic partners in college (x) and grades (y). Identify the constant, variable and exponent of
-0.125x
^{2}
.
a. Constant: -0.125, Variable: 2, Exponent: x
b. Constant: x, Variable:1/8, Exponent: 2
c. Constant -1/8, Variable: x, Exponent: 2
d. Constant: 2, Variable: x, Exponent: -0.125
e. Not sure
3. Take the first derivatives of the equation -
0.125x
^{2}
+0.25x+4.
a. -0.25x+0.25
b. -0.125x+0.25
c. -0.25x+0.25+4
d. -0.125x+0.25+4
e. Not sure
4. Given question 2 and 3 above, what is the optimum number of romantic partner(s)?
a. 1
b. 0
c. 2
d. 5
e. Not sure
5. This function describing the relationship between the numbers of voters (y) , campaign funds (x) and amount of newspaper coverage (z) is
y =20000-x
^{2}
+50x+50z. Which function below describes how the number of voters grows as
campaign funds increase?
a. dy/dx= -2x+50+50z
b. dy/dx= -x
^{2}
+50x
c. dy/dx= -2x+50
d. dy/dx= 20000-x
^{2}
+50x
e. dy/dx= x- 50-z
f. Not sure
6. Which of the statements below about these graphs is correct?
a. Yellow is a quadratic function, red is a square root, blue is a linear function
b. Yellow is cube function, red is a log function, blue is a linear function
c. Green is a quadratic function, red is a linear function, yellow is a cube function
d. None of the above
e. Not sure
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