Question

100 POINT HELP PLEASE !!!!!!!!!!! NO LINKS

Answer 1

y = log(3x + 4) + 2

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Y-INTERCEPT: set x = 0

y = log(3(0) + 4) + 2

y = log(0 + 4) + 2

y = log( 4) + 2

Using calculator,

y = log( 4) + 2

y ≈ 2.60 when x = 0

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X-INTERCEPT: set y = 0

y = log(3x + 4) + 2

0 = log(3x + 4) + 2

-2 = log(3x + 4)

(it's simple. Always remember that the base is 10, even though there seems to be no "smaller number" next to log)

= 3x + 4

$10^{-2}$ - 4 = 3x

[$10^{-2}$ - 4 ] /3 = x

x = -1.33 when y = 0

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ANSWER: y-intercept is 2.60 and x-intercept is -1.33