3 years ago

What is the average rate of change for the quadratic function from x=-1 to x=4?

Mathematics

1 answer:

Mazyrski [523]3 years ago

7 0

Answer:

Step-by-step explanation:

f(x) = x^2 - 2x - 4

when x = -1, f(-1) = (-1)^2 - 2(-1) - 4 = 1 + 2 - 4 = -1

when x = 4, f(4) = (4)^2 - 2(4) - 4 = 16 - 8 - 4 = 4

The average rate of change from x = -1 to x = 4:

f(4) - f(-1) 4 - (-1) 5

---------------- = -----------------= -------- = 1

x4 - x1 4 - (-1) 5

Answer

The average rate of change = 1

You might be interested in

Mrs. Blalock gave her students a math test. Each problem on the test was worth 4.5 points. The grade on the test, y, can be calc

umka2103 [35]

Answer:

4,5*16=y

y=72

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

lina2011 [118]

The correct answer is
$A) x^2 - 6x + 9$

In fact, this is a trinomial of the form $ax^2-bx+c$ , whose solutions are given by
$x_{1,2}= \frac{-b\pm \sqrt{b^2 -4ac} }{2a}$
Using this formula for the trinomial of the problem, we find:
$x1,2= \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3$
we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
 $(x-3)^2$

8 0

2 years ago

Read 2 more answers

What is the value of the expression?

Morgarella [4.7K]

13.23 is the answer for that equation

8 0

3 years ago

Read 2 more answers

Find the slope of the line. The slope is ___

dimulka [17.4K]

The slope would be 2/2

3 0

3 years ago

Read 2 more answers

Sibal started with $500 in a bank account that does not earn interest. In the middle of every month, she withdraws 15 of the acc

Otrada [13]

After every month's withdrawals, 4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.

4 0

3 years ago