MATH 105 Exam 2 Complete Solution

MATH 105 Exam 2

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Q1. Answer the question about the given function.
Given the function f(x) = , if x = -2, what is f(x)? What point is on the graph of f?
a. ; ( , -2)
b. - ; (-2, - )
c. - ; (- , -2)
d. ; (-2, )

Q2. The graph of a function is given. Determine whether the function is increasing, decreasing, or
constant on the given interval.
(-2, -1)
a. decreasing
b. increasing
c. constant

Q3. 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 ≠ }

Q4. 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

Q5. The graph of a piecewise-defined function is given. Write a definition for the function.
MATH 105 Exam 2 https://www.umtweb.edu/SRM/CE.aspx?d=5635A8CCCEC7C...
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a.
b.
c. f(x) =
d.

Q6. Determine algebraically whether the function is even, odd, or neither.
f(x) = 2x3
a. even
b. odd
c. neither

Q7. Answer the question about the given function.
Given the function f(x) = -3x2 - 6x - 6, is the point (-1, -3) on the graph of f?
a. Yes
b. No

Q8. Answer the question about the given function.
Given the function f(x) = x2 + 3x - 40, list the x-intercepts, if any, of the graph of f.
a. (8, 0), (-5, 0)
b. (8, 0), (5, 0)
c. (-8, 0), (5, 0)
d. (-8, 0), (1, 0)

Q9. The graph of a function is given. Decide whether it is even, odd, or neither.
MATH 105 Exam 2 https://www.umtweb.edu/SRM/CE.aspx?d=5635A8CCCEC7C...
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a. even
b. odd
c. neither

Q10. Answer the question about the given function.
Given the function f(x) = -7x2 + 14x + 4, if x = 1, what is f(x)? What point is on the graph of f?
a. 11; (1, 11)
b. 11; (11, 1)
c. -17; (1, -17)
d. -17; (-17, 1)

Q11. Find the average rate of change for the function between the given values.
f(x) = ; from 4 to 7
a. 7
b. -
c. 2
d.

Q12. 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
d. (-1, 0), (0, 0), (1, 0); symmetric to x-axis

Q13. 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

Q14. Answer the question about the given function.
Given the function f(x) = -2x2 + 4x + 3, list the y-intercept, if there is one, of the graph of f.
a. -1
b. 3
c. -3
d. 5

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. Find the value for the function.
Find f(x + 1) when f(x) = .
a.
b.
c.
d.

Q17. Determine if the type of relation is linear, nonlinear, or none.
a. None
b. Linear
c. Nonlinear

Q18. Based on the graph, find the range of y = f(x).
a. [0, 6]
b. [0, 6)
c. [0, ]
d. [0, ∞)

Q19. 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

Q20. Determine whether the function is symmetric with respect to the y-axis, symmetric with
respect to the x-axis, symmetric with respect to the origin, or none of these.

y = -6x3 + 7x
a. origin only
b. y-axis only
c. x-axis, y-axis, origin
d. x-axis only