What are the domain and range of the mathematical function f(x)=x-3
1 answer:
Domain: All Real Numbers
Range: All Real Numbers
Further explanation:
Let us define domain and range first
Domain is the set of all possible inputs for a function on which the function is defined.
While range is the output of the function obtained by inputting domain
Here,
Given function is:
The function will not be undefined on any input, so the domain of the function is all real numbers.
Similarly, the range will also be all real numbers as there is no input which makes it undefined.
Keywords: Domain, range of a function
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Answer:
The value of 7w - 8 is -22
Step-by-step explanation:
Let us solve the question
∵ -4w - 5 = 3
→ Move -5 from the left side to the right side by adding both sides by 5
∴ -4w - 5 + 5 = 3 + 5
∴ -4w = 8
→ Divide both sides by -4
∵ =
∴ w = -2
→ Now let us find the value of the given expression
∵ The given expression is 7w - 8
→ Substitute w by -2 to gets its value
∴ 7w - 8 = 7(-2) - 8
∴ 7w - 8 = -14 - 8
∴ 7w - 8 = -22
∴ The value of 7w - 8 is -22
These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
and
and
with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.