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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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125,600 surface area converted to volume?
Illusion [34]

Answer:

1256000

Step-by-step explanation:

My example:

Find the radius of the sphere by substituting 4.5? ft^3 for V in the formula in Step 1 to get: V=4.5? cubic feet.= (4/3)?(r^3)

Multiply each side of the equation by 3 and the equation becomes: 13.5 ? cubic feet =4?(r^3)

Divide both sides of the equation by 4? in Step 4 to solve for the radius of the sphere. To get: (13.5? cubic feet)/(4?) =(4? )(r^3)/ (4?), which then becomes: 3.38 cubic feet= (r^3)

Use the calculator to find the cubic root of 3.38 and subsequently the value of the radius “r” in feet. Find the function key designated for cubic roots, press this key and then enter the value 3.38. You find that the radius is 1.50 ft. You can also use an online calculator for this calculation (see the Resources).

Substitute 1.50 ft. in the formula for SA= 4?(r^2) found in Step 1. To find: SA = 4?(1.50^2) = 4?(1.50X1.50) is equal to 9? square ft.

Substituting the value for pi= ?= 3.14 in the answer 9? square ft., you find that the surface area is 28.26 square ft. To solve these types of problems, you need to know the formulas for both surface area and volume.

8 0
3 years ago
784x44=? Step by step.
Triss [41]

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

7 0
2 years ago
What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)
allsm [11]

Answer:

remainder = 290

Step-by-step explanation:

\frac{3x^3-4x^2+2x+8}{x-5}

= 3x² + 11x + 57 + \frac{290}{x-5}

quotient = 3x² + 11x + 57 and remainder = 290


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3 years ago
Find the missing length indicated
OleMash [197]

Answer:

<em>x = 15</em>

Step-by-step explanation:

4 0
2 years ago
A product sells at a regular price of $150 which is on sale for 60% off the regular price. Find the sale price.
Blababa [14]

The new sale price of the product after the deduction of discount is $60

<h3>What is the sale price?</h3>

In order to solve the given task, use the concept of percentage.

  • Regular price of the product = $150
  • Percentage discount = 60%

New price of the product = Regular price of the product - (Percentage discount × Regular price of the product)

= 150 - (60% × 150)

= 150 - (0.6 × 150)

= 150 - 90

= $60

Consequently, the new selling price of the product is $60

Read more on percentage discount:

brainly.com/question/843074

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