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MATH 105 Exam 2 Page 1 of 6 20 Unanswered MATH 105 Exam 2 Please be sure to save at least once every 15 minutes. If you leave this page without saving, or if
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Q1. For the given functions f and g, find the requested function and state its domain.
f(x) = 2x + 1; g(x) = 5x - 2
Find . a. ( )(x) = ; {x|x ≠ } b. ( )(x) = ; {x|x ≠ - } c. ( )(x) = ; {x|x ≠ - } d. ( )(x) = ; {x|x ≠ } Q2. Answer the question about the given function.
Given the function f(x) =
a. ;( , if x = -2, what is f(x)? What point is on the graph of f? , -2) b. - ; (-2, - c. - ; (- )
, -2) https://www.umtweb.edu/SRM/CE.aspx?d=3ED9AB3C503E94EFFEFFAF2D2702A23EE... 7/22/2016 MATH 105 Exam 2 d. Page 2 of 6 ; (-2, ) Q3. Answer the question about the given function.
Given the function f(x) = -7x + 14x + 4, if x = 1, what is f(x)? What point is on the graph of f?
2 a. 11; (1, 11) b. 11; (11, 1) c. -17; (1, -17) d. -17; (-17, 1)
Q4. If f(x) = 4x + 7x - x + C and f(2) = 1, what is the value of C?
3 a. C = 7 2 b. C = 11
c. C = 63 d. C = -57 Q5. Determine whether the equation is a function.
x + 8y = 5 a. function b. not a function Q6. Determine algebraically whether the function is even, odd, or neither.
f(x) = 2x 3 a. even
b. odd c. neither Q7. Determine whether the relation represents a function. If it is a function, state the domain
and range. a. function
domain: {Ms. Lee, Mr. Bar}
range: {Bob, Ann, Dave}
b. function
domain: {Bob, Ann, Dave}
range: {Ms. Lee, Mr. Bar}
c. not a function Q8. Find the average rate of change for the function between the given values.
f(x) = ; from 4 to 7 a. 7
b. - https://www.umtweb.edu/SRM/CE.aspx?d=3ED9AB3C503E94EFFEFFAF2D2702A23EE... 7/22/2016 MATH 105 Exam 2 Page 3 of 6 c. 2
d. Q9. Determine algebraically whether the function is even, odd, or neither.
f(x) = -5x + 4
2 a. even
b. odd c. neither Q10. Find the domain of the function.
g(x) =
a. {x|x ≠ 0} b. {x|x > 64} c. {x|x ≠ -8, 8} d. all real numbers Q11. Match the graph to the function listed whose graph most resembles the one given. a. square function
b. cube function c. square root function
d. cube root function Q12. Based on the graph, find the range of y = f(x). https://www.umtweb.edu/SRM/CE.aspx?d=3ED9AB3C503E94EFFEFFAF2D2702A23EE... 7/22/2016 MATH 105 Exam 2 Page 4 of 6 a. [0, 6] b. [0, 6)
c. [0, d. [0, ∞) Q13. Determine if the type of relation is linear, nonlinear, or none. a. None b. Linear c. Nonlinear Q14. List the intercepts of the graph.Tell whether the graph is symmetric with respect to the
x-axis, y-axis, origin, or none of these. a. (-1, 0), (0, 0), (1, 0); symmetric to origin, x-axis, and y-axis b. (-1, 0), (0, 0), (1, 0); symmetric to origin c. (-1, 0), (0, 0), (1, 0); symmetric to y-axis https://www.umtweb.edu/SRM/CE.aspx?d=3ED9AB3C503E94EFFEFFAF2D2702A23EE... 7/22/2016 MATH 105 Exam 2 Page 5 of 6 d. (-1, 0), (0, 0), (1, 0); symmetric to x-axis Q15. Given: E=I/R and P=IE with the values: P=10 and E=100 What are the values for I and R?
a. R=.001, I=0.1
b. R=100, I=100 c. R=0.1, I=1000 d. Cannot be solved without the value of another variable. Q16. Determine whether the relation represents a function. If it is a function, state the domain
and range.
a. function
domain:{16, 20, 24, 28}
range: {4, 5, 6, 7}
b. function
domain: {4, 5, 6, 7}
range: {16, 20, 24, 28}
c. not a function Q17. Answer the question about the given function.
Given the function f(x) = -3x - 6x - 6, is the point (-1, -3) on the graph of f?
a. Yes 2 b. No Q18. Find the value for the function.
Find f(x + 1) when f(x) = . a.
b.
c.
d.
Q19. The graph of a piecewise-defined function is given. Write a definition for the function. https://www.umtweb.edu/SRM/CE.aspx?d=3ED9AB3C503E94EFFEFFAF2D2702A23EE... 7/22/2016 MATH 105 Exam 2 Page 6 of 6 a. b. c. f(x) = d.
Q20. Find the value for the function.
Find -f(x) when f(x) = 2x - 5x + 3.
a. -2x + 5x + 3
2 2 b. 2x + 5x + 3
2 c. -2x + 5x - 3
2 d. 2x + 5x - 3
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