It's the1st: 4 cm/10 cm because:
4/10 = 2/5 . and because they have the SAME UNIT (cm)
Answer:
Step-by-step explanation:
(a) The function ...
can be evaluated for x=-2√2 to get ...
The point (-2√2, 1) is on the graph of f(x).
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(b) Likewise, we can evaluate for x=2:
The point on the graph is (2, 0.8).
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(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.
The points (±2√2, 1) are on the graph.
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(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.
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(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.
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(f) The only y-intercept is at the origin, (0, 0).
Answer:
To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.
Step-by-step explanation:
Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by
1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.
2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give
f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.
3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get
h(x) = -(x + 2)³ - 4.