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Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1. The x-intercept of the function f(x) = log(2x + 1) − 1 is __ . Its y-intercept is __.


1) (9.5,0)

(4.5,0)

(-9.5,0)

(-4.5,0)


2) (0,3)

(0,1)

(0,-3)

(0,-1)

Respuesta :

steffaniasierrag

Answer:

1. (4.5,0)

2. (0,-1)

Step-by-step explanation:

The intercept with the y-axis is making 0 the value of x and the intercept with the y-axis is making or the value of y.

a) If [tex]y=f(x)=log(2x+1)-1[/tex]

we make y=0

[tex]0=log(2x+1)-1\\10^1=10^{log(2x+1)}\\10=2x+1\\x=\frac{9}{2}=4.5[/tex]

Then the x-intercept is (4.5,0)

we make x=0

[tex]log(2*0+1)-1=log(1)-1==-1y[/tex]

Then the y-intercept is (0,-1).

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