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3 years ago

What is the rate of change of the function?

2 answers:

8 0

We have been given that on a coordinate plane a line with negative slope passes through points $(0,1)$ and $(1,-1)$ . We are asked to find the rate of the change of the function.

We know that slope represents rate of change of function.

We will use slope formula to solve our given problem.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(1,-1)$ .

$m=\frac{-1-1}{1-0}$

$m=\frac{-2}{1}$

$m=-2$

Therefore, the rate of change of the given function is $-2$ .

Lerok [7]3 years ago

6 0

Answer:

the answer is -2 did on edge

Step-by-step explanation:

You might be interested in

Use the function f(x) = –2|5-x| – 13 to evaluate f (6).

zysi [14]

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

3 0

3 years ago

Find all zeros. One zero had been give

nekit [7.7K]

Answer:

The three zeros of the original function f(x) are {-1/2, -3, -5}.

Step-by-step explanation:

"Synthetic division" is the perfect tool for approaching this problem. Long div. would also "work."

Use -5 as the first divisor in synthetic division:

------------------------

-5 2 17 38 15

-10 -35 -15

--------------------------

2 7 3 0

Note that there's no remainder here. That tells us that -5 is indeed a zero of the given function. We can apply synthetic div. again to the remaining three coefficients, as follows:

-------------

-3 2 7 3

-6 -3

-----------------

2 1 0

Note that the '3' in 2 7 3 tells me that -3, 3, -1 or 1 may be an additional zero. As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.

That leaves the coefficients 2 1. This corresponds to 2x + 1 = 0, which is easily solved for x:

If 2x + 1 = 0, then 2x = -1, and x = -1/2.

Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.

6 0

3 years ago

The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu

solniwko [45]

Answer:

an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

an = 3 + n - 1

an = 2 + n . . . . . . simplify

4 0

4 years ago

Will markk the brainliest

ivolga24 [154]

Answer:

1. the range of f^-1(x) is {10, 20, 30}.

2. the graph of f^-1(x) will include the point (0, 3)

3. n = 8

Step-by-step explanation:

1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.

2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).

3. The n-th term of an arithmetic sequence is given by ...

an = a1 +d(n -1)

You are given a1 = 2, a12 = 211, so ...

211 = 2 + d(12 -1)

209/11 = d = 19 . . . . . solve the above equation for the common difference

Now, we can use the same equation to find n for an = 135.

135 = 2 + 19(n -1)

133/19 = n -1 . . . . . . . subtract 2, divide by 19

7 +1 = n = 8 . . . . . . . . add 1

135 is the 8th term of the sequence.

3 0

3 years ago

Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0

1 year ago