Sketch the graph of the given function. then state the function’s domain and range. (note: the scale on the axes are not the same.) y = 10(3)x

Here's what I get.

Step-by-step explanation:

A. Sketch the graph

1. Find any zeroes.

(a) y-intercept

Let x = 0

y = 10(3)⁰ = 10 × 1 = 10

We have a point at (0, 10).

(b) x-intercept

Let y = 0

log(0) is undefined. There is no x-intercept.

2. Identify any asymptotes

y can never be negative, so the x-axis is an asymptote.

3. Plug in and plot a few points

Here's a table of a few points.

4. Check the end behaviour.

As x ⟶ ∞, y ⟶ ∞.

As x ⟶ -∞, y ⟶ 0

Step 5. Draw a smooth line through the points.

Your graph should look something like the one below.

B. Domain

The domain is the set of all possible x-values that will make the function work.

x can take any value from -∞ to ∞

The domain is (-∞, ∞).

C. Range

The range is the spread of the y-values.

We see from the graph that y can have any positive value except zero.

The range is (0, ∞).

d

step-by-step explanation:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: