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schepotkina [342]
2 years ago
15

QUESTION TWO Determine whether or not a constant function can be

Mathematics
1 answer:
Sveta_85 [38]2 years ago
4 0
<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.

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Mk, someone knows this answer. I know it! Pwease help!
rosijanka [135]

Answer:

16(base) x 15(height) x 1/2(basically just dividing by 2) = 120

120 x 2 = <em>240</em>

17 x 17 = 289, 289 x 2 = <em>578</em>

17 x 16 = <em>272</em>

Add all given areas:

240 + 272 + 578 = 1,090 in2 is your answer

4 0
2 years ago
A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?
Arlecino [84]

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

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2x = 850

2x/2 = 850/2

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6 0
3 years ago
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STALIN [3.7K]

Answer:

t=3

Step-by-step explanation:

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+1

4=4t-8

+8

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5 0
3 years ago
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In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?
valina [46]
To solve this problem, we need to know that 
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We're given
r = 6 (units)
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Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
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I believe the answer would be 36.

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3 years ago
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