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Rashid [163]
3 years ago
13

Which of the following functions is graphed below?

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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Match the function with its graph.
Oxana [17]

Answer:

The answer is 1D , 2A , 3C , 4B ⇒ answer (c)

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

* Lets explain each function

∵ y = tan(x)

∵ y = -tan(x - π/2)

# (x - π/2) means the graph translated horizontally to

  the right π/2 units

# -tan(x - π/2) means the graph reflected across the x-axis

∴ The graph is (D)

* 1) y = -tan(x - π/2) ⇒ (D)

∵ y = tan(x + π/2)

# (x + π/2) means the graph translated horizontally to

  the left π/2 units

∴ The graph is (A)

* 2) y = -tan(x - π/2) ⇒ (A)

∵ y = -cot(x - π/2)

# (x - π/2) means the graph translated horizontally to

  the right π/2 units

# -cot(x - π/2) means the graph reflected across the x-axis

∴ The graph is (C)

* 3) y = -cot(x - π/2) ⇒ (C)

∵ y = cot(x + π/2)

# (x + π/2) means the graph translated horizontally to

  the left π/2 units

∴ The graph is (B)

* 4) y = -tan(x - π/2) ⇒ (B)

∴ The answer is 1D , 2A , 3C , 4B answer (c)

4 0
3 years ago
Is 9.99 rational or irrational
aleksley [76]

Answer:

Rational

Step-by-step explanation:

A rational number can be written as a fraction of the form.

\frac{a}{b}  \: where \: b \ne0

and a and b are integers.

9.99 =  \frac{999}{100}

Hence in this case a=999 and b=100.

Since both are integers with b being a non-zero integer, we conclude that 9.99 is a rational number.

6 0
3 years ago
A student measured her height to be 51 inches. What is the student's height in feet and inches?
Gemiola [76]

1 foot = 12 inches.

Divide total inches by 12:

51 / 12 = 4.25 feet.

The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:

0.25 x 12 = 3 inches

51 inches = 4 feet 3 inches

The student is 4 feet 3 inches tall

8 0
3 years ago
Read 2 more answers
Find the area of the square ABCD
icang [17]

Step-by-step explanation:

Area of Square ABCD = 10m * 10m = 100m².

7 0
3 years ago
Read 2 more answers
NEED HELP RN!!!!!
Kazeer [188]

Answer:

4(2n-5)

Step-by-step explanation:

So we know Valerie has 5 less than double the number of brad's books. Brad has n books, so make that 2n to double it.

Because she has 5 less than that, the expression is now 2n-5. The is the total of Valerie's books.

We know that Brad has 4 times the number of Valerie's books, so just multiply that expression by 4.

The final answer is 4(2n-5).

You're welcome. :)

4 0
3 years ago
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