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Nat2105 [25]
3 years ago
15

Find the domain, range and if it’s a function.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0
Domain: {-1}
Range: {0, 4, 9, 15}
Function? No

Explanation:
The domain is the x value in the given points. The only x value is -1.
The range is the y value in the given points.
You can tell if this is a function if it has repeating x values or not. Since the x value of -1 repeats, it is not a function.

Hope this helps, and please mark brainliest :)
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The function is y=x+2 so the slope of this function is 1
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3 years ago
Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)
Yuliya22 [10]

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

6 0
3 years ago
How cos π/3=1/2?<br>having some problems learning continuity.
Bingel [31]

You can show that \cos\frac\pi3=\frac12 by constructing a triangle.

Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is \frac\pi3 radians.

Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.

Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to \pi radians. We know one of the angles is \frac\pi3 radians, which leaves a contribution of \frac{2\pi}3 radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure \frac\pi3 radians.

Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length \frac12, and by definition of \cos we have

\cos\dfrac\pi3=\dfrac{OC}{OB}=\dfrac{\frac12}1=\dfrac12

3 0
3 years ago
An insurance agent receives 16% commission on every premium paid. how much commission is paid on a policy with a premium of $497
a_sh-v [17]

Answer:

  $79.63

Step-by-step explanation:

You can figure this by estimating. 16% is a little less than 20%, which is 1/5. $497.69 is almost $500. So, 1/5 of that is almost $100, and a little less than that is about $80. The closest answer choice is $79.63.

__

If you want to figure it exactly, you can do the multiplication ...

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5 0
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Convert 7.5 to a decimal
julsineya [31]

7.5 is already in decimal form.

3 0
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