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3 years ago

When you multiply a function by -1 what is the effect on its graph

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Please see attached image.

Step-by-step explanation:

When you multiply a function by -1 you are basically reflecting the values of the function over the x-axis.

The values that were negative become positive and the positive values become negative.

Please, take a look at the attached graph below, where there are examples with two functions.

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dana is flying a kite whose string is 65 meters long and makes a 70 degree angle with the ground. How far is the kite above the

SSSSS [86.1K]

Here you would want to use the sine function, since it’s making a triangle with the ground, and length of the string, the height to the kite. This can be found by 65sin(70°) which is ≈ 61.08 meters

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3 years ago

Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8

allochka39001 [22]

Answer:

(2,-2)

Step-by-step explanation:

$3x-y =3(2) -(-2)= 6 +2 = 8$

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2 years ago

Round the number to the nearest thousand. 645,405

Aleksandr-060686 [28]

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2 years ago

For the following exercises, find the average rate of change of the functions from x = 1 to x =2.

VMariaS [17]

Answer:

For the function $f(x)=4 x-3$ the average rate change from x is equal 1 to x is equal 2 is 4 .

Step-by-step explanation:

A function is given f(x)=4x-3.

It is required to find the average rate change of the function from x is 1 to x is 2 . simplify.

Step 1 of 2

A function f(x)=4 x-3 is given.

Determine the function $f\left(x_{1}\right)$ by putting the value of x=1 in the given function.

$\begin{aligned}&f(1)=4(1)-3 \\&f(1)=1\end{aligned}$$$$f(1)=1$

Determine the function $f\left(x_{1}\right)$ by putting the value of x is 2 in the given function.

$\begin{aligned}&f(2)=4(2)-3 \\&f(2)=5\end{aligned}$

Step 2 of 2

According to the formula of average rate change of the equation $\frac{\Delta y}{\Delta x}=\frac{f\left(x_{2}\right)-f\left(x_{2}\right)}{x_{2}-x_{1}}$

Substitute the value of $f\left(x_{1}\right)$ with, $f\left(x_{1}\right)$ with $3, x_{2}$ with 2 and $x_{1}$ with 1 .

$\begin{aligned}&\frac{\Delta y}{\Delta x}=\frac{5-1}{1} \\&\frac{\Delta y}{\Delta x}=4\end{aligned}$

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1 year ago

Picture attachment is below

Stolb23 [73]

Answer:

Step-by-step explanation:

A rational number will either end or repeat forever like the first three, but the fourth one, pi, will go on forever and never repeat, making it irrational.

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3 years ago