Answer:
-2.90625
Step-by-step explanation:
Given the polynomial function
P(x) = x^5-x^4+x^3-3
If c = 1/2
At x = c
P(1/2) = (1/2)^5-(1/2)^4+(1/2)^3-3
P(1/2) = 1/32 - 1/16 + 1/8 - 3
P(1/2) = 1-2+4-96/32
P(1/2) = -93/32
P(1/2) = -2.90625
Hence P(c) is -2.90625
Answer:
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Answer:
Step-by-step explanation:
a. The vertex is (1, -9). False. The vertex is (-1, -9).
b. The graph opens upward. True. That coefficient '6' is positive.
c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.
d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.
e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE
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I hope this helps!