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dem82 [27]
2 years ago
9

Determine if the function f(x) = 3x ^ 5 - 9 is even, odd, or neither

Mathematics
1 answer:
o-na [289]2 years ago
6 0

Answer:

the function f is neither even nor odd

Step-by-step explanation:

f(x) = 3x⁵ - 9

we start by calculating f(-x)

f(-x) = 3(-x)⁵ - 9

      = 3(-(x)⁵) - 9   (Since 5 is an odd number then (-x)⁵ = - x⁵)

      = - 3x⁵ - 9

Then

f is not even because f(-x) = - 3x⁵ - 9 ≠ 3x⁵ - 9 = f(x)

f is not odd because f(-x) = - 3x⁵ - 9 ≠ -3x⁵ + 9 = -f(x)

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The x-intercept is present where y = 0

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The y-intercept is present where x = 0

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Add using the number line. ​ −0.5 + (−1.7) ​
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We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

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