Is square root of 36 plus 3 a rational or irrational number?
1 answer:
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A. True. We see this by taking the highest order term in each factor:
B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.
C. False. f(x) = 0 only for x=0, x = 5, and x = -2.
D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.
E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).
F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.
Answer:
It is required to draw a number line showing equivalent fractions.
'Equivalent fractions' are the fractions having same value even though the digits involved are different'.
For example: Consider, and
.
Now, we have,
= 0.5
= 0.5
Thus, the both fractions have the same value, even though we are dividing different digits.
Thus, and
are called equivalent fractions.
So, we plot them on the number line, resulting in the following figure with point P = 0.5.
