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Reika [66]
3 years ago
15

Can some one please help me with this problem

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0
3a; Rectangle
3b; Square
3c;Trapezoid
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QUESTION TWO Determine whether or not a constant function can be
Sveta_85 [38]
<h3>Answers:</h3>
  • (a) It is <u>never</u> one-to-one
  • (b) It is <u>never</u> onto

=========================================================

Explanation:

The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.

Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.

----------------------------

The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.

With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.

4 0
2 years ago
Which expression is greater than -|-9.02|?
viktelen [127]

Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
Given f(x) = 2x2 - 4, find the average rate of change from x1 = -2 to x2 = 4.
Oduvanchick [21]

Answer:

The average rate of change = 4

Step-by-step explanation:

Given the function

f\left(x\right)\:=\:2x^2\:-\:4

x₁=-2, x₂=4

f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4

f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28

The average rate of change = f(x₂) - f(x₁) / x₂ - x₁

                                                = (28-4)/(4-(-2))

                                                = 24/6

                                                = 4

Thus, the average rate of change = 4

4 0
3 years ago
Divide 81 into the ratio 5:4
yanalaym [24]

Answer:

45:36 is the answer.

Step-by-step explanation:

Divide 81 by sum of ratio.

81/(5+4)=81/9=9

So,

5×9 : 4×9

45 : 36

Check: 45+36=91

7 0
2 years ago
2
777dan777 [17]

Answer:

Unit 9 Answer Key.pdf

Step-by-step explanation:

Search that up and you'll see all the answers

Please give me Brainliest and like and rate please hope this helps BYE!

8 0
2 years ago
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