BIOLOGY HIGH SCHOOL

If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)?A. It is an even function.

B. It is an odd function.

C. It is both an even and an odd function.

D. It is neither an even nor an odd function.

Answers

Answer 1

Answer:

The right answer is A. It is an even function.

A function is said to be even if its graph is symmetric with respect to the $y-axis$ , that is:

$y=f(x) \ is \ \mathbf{even} \ if, \ for \ each \ x \ in \ the \ domain \ of \ f:\n \n f(-x)=f(x)$

Since:

$g(x)=2x^2+1 \ and \n \n g(-x)=2(-x)^2+1 \therefore g(-x)=2x^2+1 \n \n \therefore \boxed{g(x)=g(-x)}$

Answer 2

Answer: If f(-x) = -f(x) that the function is odd. If f(-x)=f(x) then the function is even.

g(-x) = 2(-x)^2+1 = 2x^2+1 = g(x). The function is even.
The answer to your question is A.
I hope that this is the answer that you were looking for and it has helped you.

Related Questions

Two reasons the euglenoids are considered to be a animal like are
In which organelle does the chemical process of photosynthesis occur? mitochondria nucleus chloroplast endoplasmic reticulum
How do only certain cells respond to particular signaling molecules that may be sent throughout the body? see section 11.3 (page 244) . view available hint(s) how do only certain cells respond to particular signaling molecules that may be sent throughout the body? see section 11.3 (page 244) . they express the appropriate g protein. they express the appropriate second messenger(s). they express the ras protein. they express the appropriate receptor?
A nurse is caring for an older adult client. Physiological change associated with aging?
Write the following as an algebraicexpression:the product of 5 and bWhat

What term describes an early kind of biologist who made and recorded observations about organisms in nature?

Answers

The term being referred to in this item is the naturalist. They study the natural environment. They generally have a broad studied things with broader range of interest than the particular specialty. Some of them may not have the proper training and do not hold a degree; however, they appreciate nature.

the word biologists.............

Identify a predator from an Ethiopian Highlands ecosystem.How else can this animal be classified in terms of feeding
relationships? What is its prey? How else can its prey animal
be classified in terms of feeding relationships?

Answers

The Predator from an Ethiopian Highlands ecosystem is the Wolf. The Wolf is

regarded as a Carnivore and it gets its food from preys through Predation.

What is a Carnivore?

Carnivores refer to animals which feed on flesh . Carnivores are mainly

secondary or tertiary consumers in the ecosystem.

They prey on herbivores such as

Rodents

Deers etc.

The prey animal can be classified as Herbivores in terms of feeding

relationships. Herbivores feed on primary producers known as plants.

REad more about Predation here brainly.com/question/13148843

Answer:

The Predator from an Ethiopian Highlands ecosystem is the Wolf. The Wolf is

regarded as a Carnivore and it gets its food from preys through Predation.

Explanation:

An organism has the following characteristics: cell wall, autotrophic, unicellular, and eukaryotic. What kingdom does it most likely belong in?

Answers

Answer:

The Kingdom of Protista

Explanation:

Organisms that belong to the kingdom Protista are unicellular, and eukaryotic (cells with a true nucleus and membrane-bound organelles). Protists can be both heterotrophic and autotrophic, and they usually move by flagella or cilia.

Answer: Protista

Explanation:

Mike grows vegetables on his farm. The tomatoes that he grows are of good quality, but they are small. What can he do to increase the size of the tomatoes?

Answers

To increase the size of the tomatoes, one thing he could do is to prune side stems. These are the new branches that grow from the main stem of the plant which signifies overgrowth. Overgrowth will mean that these leaves will not get enough sunlight to grow bigger and also it weighs down the plant. However, when you take out these side stems more of the leaves are exposed to the sun thus they make more energy for the plant which then produce larger fruits.

Why are viruses considered to be nonliving?

Answers

Because:
They aren't cells, well not like animal and plant ones. They are just DNA/RNA surrounded by protein
They have no metabolism, they have no energy needs, which makes them unlike living cells
They produce no waste, no energy going in means no energy coming back out again, which is also different to living cells
They don't reproduce by mitosis/meiosis, they can only replicate inside other cells
They don't grow, they stay as they are from birth until death
They don't respond to outside stimuli they just live their happy little lives, oblivious to everything around them

viruses are considered to be non living because they dont posess nucleus

Which of the following correctly lists the structures through which tactile stimuli travels after being converted into neural signals? A. spinal cord, somatosensory cortex, thalamus
B. somatosensory cortex, thalamus, spinal cord
C. thalamus, spinal cord, somatosensory cortex
D. spinal cord, thalamus, somatosensory cortex

Answers

The right answer is C. thalamus, spinal cord, somatosensory cortex.

The somesthetic system, or somatic sensory system, groups the nervous mechanisms responsible for collecting somatic sensations (the sensations of the body). This is the meaning that tells us

about the state of our body

on our environment, through our body.

Somesthesia is an integral part of different sensory modalities of perception as well as the specific senses of hearing, vision, taste, smell, balance.

It is composed of the somatosensory thalamus, spinal cord, and somatosensory cortical areas.

Answer:

Explanation:

E2020

Other Questions

A feature in the early hominid was her apelike shoulders and forelimbs, but a pelvis that indicated that most of her body weight lay above her pelvis. Which best explains the fossil?

Which of the following best explains ways in which fish and mammals differ? (2 points)Fish are invertebrates and have scales and paired fins, while mammals are vertebrates and have fur or hair. Fish are ectothermic and lay eggs to reproduce, while mammals are endothermic and give live birth to offspring. Fish are endothermic and have gills, while mammals are ectothermic and have lungs. Fish have streamlined bodies and three-chambered hearts, while mammals are bipedal and have four-chambered hearts.

Our environment provides us with vital processes called ecosystem services. a. Trueb. False

Sickle cell anemia is a condition where the red blood cells are deformed. Which is affected by sickle cell anemia?