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Rudik [331]
3 years ago
12

Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.

Mathematics
1 answer:
Vlada [557]3 years ago
8 0
(x,y)
to be  a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them

ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2

not a function

domain is all x values
range is all y values
if they repeat, don't list them

domain=(0,1,4)
range=(-2,-1,0,1,2)
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At which points does the graph of f(x)=2x−4 cross the x-axis and y-axis?
blagie [28]

crosses x-axis at (2, 0 ) and y-axis at (0, - 4 )

To find where the graph crosses the x and y axes ( intercepts )

• let x = 0, in the equation for y- intercept

• let y = 0, in the equation for x- intercept

x = 0 : y = 0 - 4 = - 4 ⇒ (0, - 4 )

y = 0 : 2x - 4 = 0 ⇒ 2x = 4 ⇒ x = 2 ⇒ (2, 0 )


6 0
3 years ago
Which property is shown?
solniwko [45]

Associative Property of Addition hope this helps

8 0
3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S
Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 ft^{3} per minute.

Step-by-step explanation:

              The given is,

                         Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

                          Oil drained at a rate of 2.5 ft^{3} per minute.

Step:1

       Time taken to dry the oil tank is,

                           T   = \frac{Volume of oil}{Oil drain rate}  ....................................(1)

Step:2

      Volume of the oil is,

                           V = \pi  r^{2} h.................................................(2)

      Where, r - Radius of Cylinder

                             r = \frac{d}{2}

                             r = \frac{2.2}{2}

                             r = 1.1 ft

      From eqn (1),

                        V =  \pi × 1.1^{2} × 3

                           = 11.40398 ft^{3}

Step:3

     From equation (1)

                           = \frac{11.40398}{2.5}

                           = 4.56

                           = 4.56 minutes

                      T  = 4 minutes 34 seconds

Result:

      Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

4 0
2 years ago
Which of the following is the inverse of y=3x?
shtirl [24]

Answer-

<em>The inverse of y=3^x is </em>

\boxed{\boxed{y=\log_3 x}}

<u>Solution-</u>

The given function is,

y=3^x

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

\Rightarrow x=3^y

Taking log of both sides,

\Rightarrow \log x=\log 3^y

As,

\log a^b=b\times \log a

Applying the same,

\Rightarrow \log x=y\times \log 3

\Rightarrow y=\dfrac{\log x}{\log 3}

As,

\log_b a=\dfrac{\log a}{\log b}

Applying the same,

\Rightarrow y=\log_3 x

Therefore, the inverse of y=3^x is y=\log_3 x.

7 0
3 years ago
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Alex17521 [72]
Part A: variables: x, y coefficients: 15, 100
Part B: 2 terms: 15x, 100y because they are separated by a + sign
Part C: 15x shows the total earned from her allowance
4 0
3 years ago
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