Question

Please help me out with this!!

Answer 1

Answer:

see attached

Step-by-step explanation:

1.

Solid dots go at all the end points except the one at (3, 6), which gets an open dot signifying the function is not defined for that point.

For the first portion of the graph, the square root function is shifted left one unit and scaled vertically by a factor of 3.

The second portion of the graph is a line with a slope of -1. It would have a y-intercept of 5 if it were defined there. It has an x-intercept of 5.

2.

The y-intercept is found by setting x=0 and solving for y.

... y = log(2·0+1) -1 = log(1) -1 = 0 -1 = -1

The x-intercept is found by setting y=0 and solving for x.

... 0 = log(2x +1) -1

... 1 = log(2x +1) . . . add 1

... 10 = 2x +1 . . . . . . take the antilog

... x = (10 -1)/2 = 4.5 . . . . . subtract 1, divide by the x coefficient

The intercepts are (0, -1) and (4.5, 0).