Answer: I have the pictures attached
Step-by-step explanation:
In order to graph this, we have to get it into this equation: y = mx + b, where m = slope and b = y intercept.
y = 3/2x - 4 is already in this form.
2y + 4 = 2 + 3x is not, so we have to isolate y
2y + 4 - 4 = 2 + 3x - 4
2y = -2 + 3x
2y/2 = -2/2 + 3x/2
y = -1 + 3/2x
y = 3/2x - 1
Okay, now graph it knowing your y intercepts and your slopes.
The answer is:
The first option shows the graph of the given function.
<h2>Why?</h2>Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).
So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.
The function is:
Finding the y-axis intercept, we need to make "x" equal to 0, so:
We need to remember that any number elevated or powered to 0 is equal to 1, so:
We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).
Finding the x-axis intercept, we need to make "y" equal to 0, so:
Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.
Hence, the first option shows the graph of the given function.
Have a nice day!
Note: I have attached a picture for better understanding.
