Answer:
Read Below
Step-by-step explanation:
we can represent a function using a graph. Graphs display many input-output pairs in a small space. The visual information they provide often makes relationships easier to understand. We typically construct graphs with the input values along the horizontal axis and the output values along the vertical axis.
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular
x
value. The
y
value of a point where a vertical line intersects a graph represents an output for that input
x
value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that
x
value has more than one output. A function has only one output value for each input value.
Question 1:This is a 45-45-90 right triangle. If the leg length is

, then the hypotenuse length will be

.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get

. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of

.
Then, the longer leg will have a length of

.
Also, the hypotenuse will have a length of

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
Step-by-step explanation:
Using functions, the input is x, the output is y.
<u>Break down the problem:</u>
The output (y) is (equals) one-fourth (1/4) of the input (x)
y equals 1/4 of x

Answer:
-3
Step-by-step explanation:
Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.