Blank 1: 1
Blank 2: 3
Blank 3: -2
Answer:
Neither even nor odd.
Step-by-step explanation:
f(x) = 2(x + 1)^3 = 2x^3 + 18x^2 + 54x + 54
f(-x) = -2x^3 + 18x^2 - 54x + 54
If it was even f(x) would be = f(-x) so it is NOT EVEN.
-f(x) = 2x^3 - 18x^2 + 54x - 54
So f(-x) is not = -f(x) so it is not ODD either.
The number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
<h3>How to determine the
number of solutions?</h3>
In order to determine the number of solutions, we would split the single equation to two different equations and then plot a graph, so as to reveal their solutions.
This ultimately implies that, the number of solutions is equal to the point of intersection between the lines of the equations plotted on a graph.
In conclusion, the number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
Read more on number of solutions here: brainly.com/question/12558210
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