Which statement regarding the function y=sin(x) is true?

Mathematics

1 answer:

REY [17]4 years ago

6 0

<h2>Answer:</h2>

c. Reflection over either the x-axis or y-axis will change the graph

<h2>Step-by-step explanation:</h2><h3>a. Reflection over the y-axis will not change the graph since sine is an even function.</h3>

This is false because $y=sin(x)$ is an odd function, not an even one. This means that $sin(-x)=-sin(x)$ , and a reflection over the y-axis will change the graph.

This is false because we said that $sin(-x)=-sin(x)$

<h3>c. Reflection over either the x-axis or y-axis will change the graph</h3>

This is true. Since $sin(x)$ is an odd function, then reflection over either the x-axis or y-axis will change the graph as we said in a. So, for $f(x)$ :

<u>REFLEXION IN THE X-AXIS:</u>

$h(x)=-f(x)$

<u>REFLEXION IN THE Y-AXIS:</u>

$h(x)=f(-x)$

False by the same explanation as b.

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Alex_Xolod [135]

Answer:

$\:$

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6 0

2 years ago

What is the domain of this function?

storchak [24]

Given:

Consider the below figure attached with this question.

To find:

The domain of the graphed function.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the function has one end point at (0,9) and an arrow at (8,1). It means it is not a line because it is a ray that moves further from point (8,1) in the downward direction.

The minimum value of x is 0 and their is no maximum value of x because graph of the function is a ray. So, the domain of the given function is:

$\text{Domain}=\{x|x\geq 0\}$