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Popular >

f(x)=x^2+sin(2pix)

Solution

f (x) = x^{2} + sin (2 π x)

Solution

Domain : - \infty < x < \infty

Y Intercepts : (0, 0)

Asymptotes : None

Inflection Points : (\frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n, \frac{arcsin ^{2} ( \frac{1}{2 π ^{2}} )}{4 π ^{2}} + \frac{arcsin ( \frac{1}{2 π ^{2}} ) n}{π} + n^{2} + sin (arcsin (\frac{1}{2 π ^{2}}) + 2 πn)), \frac{1}{2} - \frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n, (\frac{1}{2} - \frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n)^{2} + sin (π - arcsin (\frac{1}{2 π ^{2}}) + 2 πn)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{2} + sin (2 π x) : - \infty < x < \infty

Axis interception points of

x^{2} + sin (2 π x) :

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} + sin (2 π x) :

None

Inflection Points of

x^{2} + sin (2 π x) : (\frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n, \frac{arcsin ^{2} ( \frac{1}{2 π ^{2}} )}{4 π ^{2}} + \frac{arcsin ( \frac{1}{2 π ^{2}} ) n}{π} + n^{2} + sin (arcsin (\frac{1}{2 π ^{2}}) + 2 πn)), \frac{1}{2} - \frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n, (\frac{1}{2} - \frac{arcsin ( \frac{1}{2 π ^{2}} )}{2 π} + n)^{2} + sin (π - arcsin (\frac{1}{2 π ^{2}}) + 2 πn)

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Frequently Asked Questions (FAQ)

What is the f(x)=x^2+sin(2pix) ?
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