So you correctly wrote that the slope is represented by
Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).
Now, to find the change in y and x, we need to take two points,

and

. We can then find the slope, m, as below:

So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write

and

(we can choose either point to be

so long as we're consistent.

This is a positive (+) change.
2)

Negative (–).
3)

Positive (+).
4)

Positive (+).
5)

Negative (–).
Answer:
Step-by-step explanation:
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a/b or {\displaystyle {\tfrac {a}{b}}}
b
a
, where a and b are both integers. As with other fractions, the denominator (b) cannot be zero. Examples include {\displaystyle {\tfrac {1}{2}}}
2
1
, {\displaystyle -{\tfrac {8}{5}}}−
5
8
, {\displaystyle {\tfrac {-8}{5}}}
5
−8
, and {\displaystyle {\tfrac {8}{-5}}}
−5
8
.
29
I hope this helps!
Thank you!!
Answer:
Step-by-step explanation:
* 
then
*
= 64
Answer:
The average rate of change of the given function
A(x) = 1
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given function f(x) = x² - 2x -4
And given that x = a = -1 and x=b = 4
The average rate of change of the given function

<u><em>Step(ii):-</em></u>
f(x) = x² - 2x -4
f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1
f(4) = 4² -2(4) -4 = 16 -12 = 4
The average rate of change of the given function


<u><em>final answer:-</em></u>
The average rate of change of the given function
A(x) = 1