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Popular >

f(x)=log_{10}(2x^2+3x+14)

Solution

f (x) = lo g_{10} (2 x^{2} + 3 x + 14)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq lo g_{10} (\frac{103}{8})

Y Intercepts : (0, lo g_{10} (14))

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{4}, lo g_{10} (\frac{103}{8}))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [lo g_{10} (\frac{103}{8}), \infty)

Solution steps

Domain of

lo g_{10} (2 x^{2} + 3 x + 14) : - \infty < x < \infty

Range of

lo g_{10} (2 x^{2} + 3 x + 14) : f (x) \geq lo g_{10} (\frac{103}{8})

Axis interception points of

lo g_{10} (2 x^{2} + 3 x + 14) :

Y Intercepts

: (0, lo g_{10} (14))

Asymptotes of

lo g_{10} (2 x^{2} + 3 x + 14) :

None

Extreme Points of

lo g_{10} (2 x^{2} + 3 x + 14) :

Minimum

(- \frac{3}{4}, lo g_{10} (\frac{103}{8}))

Popular Examples

y = \frac{x}{x ^{2} + 36}

f(z)=\sqrt[4]{z}

f(x)=-\sqrt[3]{4x+1}-2

y = - 4 (x + 6)^{2} + 36

y = \frac{7}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=log_{10}(2x^2+3x+14) ?
The f(x)=log_{10}(2x^2+3x+14) is