How do i graph this? in picture below
include the graph

See the attached figure.

Step-by-step explanation:

The given function is called piecewise function which is the function that can be in pieces, i.e: defined by multiple sub-functions.

So, need to graph 2x in the interval [3,∞)

And graph -(1/3) x + 7  in the interval (-∞,3]

We will find that f(3) at the function 2x will be equal f(3) at the function -(1/3) x + 7

Which mean the function is continuous.

The attached figure represents the graph of function, it was graphed using the tables on the graph.

answer: the correct answer is -32

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!