ansteigen
to rise
To increase; to go up in quantity, value, or degree.
Die Temperaturen sollen am Wochenende auf über 30 Grad ansteigen.
Temperatures are expected to rise to over 30 degrees on the weekend.

to rise
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to rise
To increase; to go up in quantity, value, or degree.
Die Temperaturen sollen am Wochenende auf über 30 Grad ansteigen.
Temperatures are expected to rise to over 30 degrees on the weekend.

'Ansteigen' (to rise) is a separable verb. The prefix 'an-' stands at the end in main clauses; in subordinate clauses and in the infinitive, it remains attached to the verb.
Die Zahl der Arbeitslosen steigt weiter an.
The number of unemployed people continues to rise.
The perfect tense of 'ansteigen' (to rise) is always formed with the auxiliary verb 'sein' (to be), because it describes a change of state or level.
Die Kriminalitätsrate ist im letzten Jahr stark angestiegen.
The crime rate rose sharply last year.
To specify the increase more precisely, use 'auf' + accusative for the new value and 'um' + accusative for the difference.
Das Thermometer ist auf 10 Grad angestiegen.
The thermometer rose to 10 degrees.
When the subject is something abstract (e.g., prices, fever, numbers), the meaning is 'zunehmen' (to increase). When the subject is something physical that can be walked on (e.g., path, road, terrain), the meaning is 'nach oben führen' (to lead upward).
Die Nachfrage nach Elektroautos steigt stetig an.
Demand for electric cars is steadily rising.
to fall
'fallen' and 'ansteigen' are opposites when talking about numbers, values, amounts, or a level. In that context, 'fallen' means that something becomes less or lower. 'ansteigen' means that something becomes more or higher. Both words are often used with prices, temperatures, costs, numbers, or water levels. 'Die Temperatur fällt' means: it is getting colder. 'Die Temperatur steigt an' means: it is getting warmer.

Im Sommer sind die Mieten in der Stadt weiter angestiegen.
In the summer, rents in the city continued to rise.
Nachts fallen die Temperaturen oft unter null Grad.
At night, temperatures often fall below zero degrees.