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Popular >

f(x)=-1/2 (1/2)^x+7

Solution

f (x) = - \frac{1}{2} (\frac{1}{2})^{x} + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) < 7

X Intercepts : (- \frac{ln ( 7 )}{ln ( 2 )} - 1, 0), Y Intercepts : (0, \frac{13}{2})

Asymptotes : Horizontal y = 7

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 7)

Solution steps

Domain of

- \frac{1}{2} (\frac{1}{2})^{x} + 7 : - \infty < x < \infty

Range of

- \frac{1}{2} (\frac{1}{2})^{x} + 7 : f (x) < 7

Axis interception points of

- \frac{1}{2} (\frac{1}{2})^{x} + 7 :

X Intercepts

: (- \frac{ln ( 7 )}{ln ( 2 )} - 1, 0),

Y Intercepts

: (0, \frac{13}{2})

Asymptotes of

- \frac{1}{2} (\frac{1}{2})^{x} + 7 :

Horizontal

: y = 7

Extreme Points of

- \frac{1}{2} (\frac{1}{2})^{x} + 7 :

None

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f (x) = \frac{2 x ^{2} + 3 x - 5}{x ^{2} + 2}

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Frequently Asked Questions (FAQ)

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