SOLUTION: Consider the function defined by f = {(x, y) : x ∈ R, y = 1/3(x + 2)^2 + 5}. Which of the following statements is/are correct? A. The graph of f does not cut the x

SOLUTION: Consider the function defined by f = {(x, y) : x ∈ R, y = 1/3(x + 2)^2 + 5}. Which of the following statements is/are correct? A. The graph of f does not cut the x - axis

Question 1142376: Consider the function defined by f = {(x, y) : x ∈ R, y = 1/3(x + 2)^2 + 5}.
Which of the following statements is/are correct?
A. The graph of f does not cut the x - axis.
B. y ≥ 0 for all x ∈ Df .
C. The y - intercept of the graph of f is 5.
1. Only A
2. Only B
3. Only C
4. Only A and B
5. A, B and C
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

For A and B, note that the (1/3)(x+2)^2 term is always zero or positive. When you add 5 to a number that is zero or positive, what do you know about the result?

For C, plug in x=0 and see if the statement is true.
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