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Popular >

f(x)=e^x,-pi<= x<= pi

Solution

f (x) = e^{x}, - π \leq x \leq π

Solution

Domain : - π \leq x \leq π

Range : \frac{1}{e ^{π}} \leq f (x) \leq e^{π}

Y Intercepts : (0, 1)

Asymptotes : Horizontal None

Extreme Points : Minimum (- π, \frac{1}{e ^{π}}), Maximum (π, e^{π})

+1

Interval Notation

Domain : [- π, π]

Range : [\frac{1}{e ^{π}}, e^{π}]

Solution steps

Domain of

e^{x}, - π \leq x \leq π : - π \leq x \leq π

Range of

e^{x}, - π \leq x \leq π : \frac{1}{e ^{π}} \leq f (x) \leq e^{π}

Axis interception points of

e^{x}, - π \leq x \leq π :

Y Intercepts

: (0, 1)

Asymptotes of

e^{x}, - π \leq x \leq π :

Horizontal

:

None

Extreme Points of

e^{x}, - π \leq x \leq π :

Minimum

(- π, \frac{1}{e ^{π}}),

Maximum

(π, e^{π})

Popular Examples

f (x) = (3 x + 4)^{2}

y=2-log_{10}(x)

y = 2 - lo g_{10} (x)

y = - x^{2} + 4 x + 4

y = x^{2} + \frac{2}{x}

y=(x^2+1)/(x^2-9)

y = \frac{x ^{2} + 1}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

What is the f(x)=e^x,-pi<= x<= pi ?
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