Given a piecewise function:
To graph the function follow the steps below:
<h3>Step 1</h3>
Graph the first function, f(x) = 3x - 5
Plot two points with x- coordinates - 1 and 0. We considered x ≤ -1 when selecting points.
- f(-1) = 3(-1) - 5 = - 8
- f(-2) = 3(-2) - 5 = - 11
Make point (- 1, - 8) a full dot and connect two points, then extend the line to the left from x = -2.
<h3>Step 2</h3>
Graph the second function, f(x) = - 2x + 3.
Plot both endpoints with x - coordinates of - 1 and 4.
- f(-1) = - 2(-1) + 3 = 5
- f(4) = - 2(4) + 3 = - 5
Make both points (-1, 5) and (4, 5) open dots and connect together.
<h3>Step 3</h3>
Graph the third function, f(x) = 2.
Every point of this function has the value of 2, we are interested in the endpoint when x = 4.
Make this point a full dot and make a line parallel to the x-axis, to the right from the plotted point.
Now we have the full graph, <u>see attached</u>.
Step-by-step explanation:
6-3=3
T1=3+3=6 +3=9 +3=12 +3=15 +3=18
n=18
Answer: the slope is negative and the y intercept is (0,1)
Step-by-step explanation:
Answer:
The correct answer is C. The 4th term is 11.
Step-by-step explanation:
Since the next term is one more than twice the previous, we can calculate it by the following expression:
So the second term is:
The third term:
And the fourth term:
The correct answer is C. The 4th term is 11.
Read as: x is to 1/4 as 32 is to 3/4
x / (1/4) = 32/(3/4)
4x = 128/3
x = (32)/3