Plan

  1. Description of what the graph illustrates.
  1. An overview.

Brief summary of what happens on the graph.

  1. Details, less noticeable features.

Where did the graph rise/decline sharply and where slowly? What is the difference between initial and final figures? 

  1. Summary, comparison.

Verbs of movement

Going up ↑
To rise, to go up, to increase, to grow, to climb

Dramatically: to shoot up, to surge, to rocket, to soar

Highest point: to reach a peak, to peak, to reach the highest level

Going Down↓

To decrease, to fall, to decline, to go down

Dramatically: to drop, to plunge, to plummet, to slump

Lowest point: to fall to a low, to sink to a trough, to reach a bottom, to hit a low

No Change ─
to remain constant/steady/unchanged/stable, to stabilize, to level off

Up and Down ↑↓
To fluctuate, to undulate, to be erratic

to dip

Adverbs

A little: gently/slightly
steadily/gradually
suddenly
A lot: sharply/dramatically/steeply

Nouns of movement

Going up ↑
A rise, an increase, a growth, a climb

Dramatic: a surge

Highest point: a peak, the highest level, a high

Going Down↓

a decrease, a fall, a decline

Dramatic: a drop, a plunge

No Change ─
stabilization

Up and Down ↑↓
Fluctuation, undulation

a dip

Note! We cannot make nouns from some verbs, such as to rocket, to plummet, to  level off etc.

Examples
The average income level rose from $800 to $1000/ There was a rise in the average income of $200.
Sales fell to 25 million dollars in 1998/ there was a fall in sales of 25 million dollars in 1998.
Sales fell by 2%/ there was a slight fall in sales of 2%.
It peaked at 40%/ it reached a peak of 40%.
It fluctuated between 10 and 13 percent, there was a fluctuation of 3%.

Introduction
The graph shows /indicates/depicts/illustrates/outlines/compares…
From the graph it is clear…
It can be seen from the graph…
As can be seen from the graph,…
As is shown / illustrated by the graph,…

E.g. The graph shows the percentage of school graduates entering universities in England over 10 years.

Comparison of graphs

The first one illustrates…, whereas/while the second one shows…

The number of … correlates with…

Useful verbs: to surpass, to exceed

Note!
You can use a combination of adjective + noun, or verb + adverb, to avoid repeating the same phrase.
Example: There was a sharp decrease in the numbers. The numbers decreased sharply.