Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
2 answers:
The average rate of change is defined as:
For AVR to be negative, it must comply with:
Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.
Among the options given, this interval is:
1 to 2.5
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
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The difference between Pre-Image and Image is given as follows:
- Image is the shape AFTER a transformation is the picture of the transformation.
- A transformation's preimage is the shape BEFORE the change.
Usually, the difference between image and pre-image is the way or method of transformation.
<h3>What is transformation in math?</h3>A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure.
The Pre-Image is the original shape of the item, and the Image during the transformation is the final shape and location of the object.
The types of transformation in math are;
- translation
- rotation
- reflection, and
- dilation.
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Answer:
The answer is .
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element there exist another element, denoted by
such that
, where
stands for the identity element of G.
So, given the equality we make a left multiplication by
and we obtain:
But, . Hence,
.
Now, in the equality we make a right multiplication by
, and we obtain
.
Recall that and
. Therefore,
.