Help please! (Will give brainliest if it's correct) 28 points

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Don't worry, I'll help you!

1. What is a function?

"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2."

2. What is the difference between a linear and non-linear function?

"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function is a curved line."

3. Constant Interval, and how does it appear on a graph

Definition:
"Determine the intervals on which a function is increasing, decreasing or constant by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."

How does it appear on a graph?

"Functions can either be constant, increasing as x increases, or decreasing as x increases."

4. Identifying the rate of change

Yes, you can:

"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."

5. Determining if it is a linear function or not

"A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this function is degree 1 meaning that the x variable has an exponent of 1."

THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!

-Jina Wang, from Middle School

You might be interested in

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

kvasek [131]

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

5 0

3 years ago

Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.