Answer:
to study the nature and size of the image formed by a convex lens using a candle and a screen activity file
Using the graph and function concepts, it is found that:
a) The domain is
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in
and
, and decreasing
, and
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
- The y-values are from -2 to -5, thus, the range is:
![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in
and
. - On the other intervals,
, and
, the function is decreasing.
A similar problem is given at brainly.com/question/10891721
Are there any options to pick from?
Answer:
<u>α = 29°</u>
Step-by-step explanation:
<u>Given values</u>
- Opposite side = √15
- Adjacent side = 7
<u>Missing value</u>
<u>Solving</u> :
- tanα = √15/7
- α = tan⁻¹ (√15/7)
- α = 28.8107937
- <u>α = 29°</u> (closest value)