All categories

3 years ago

Range f (x)=3x-12. Domain is (-2,2)

1 answer:

6 0

Interpretation of question: Find the range, given the f(x) = 3x - 12 and the domain is from (-2,2).

Since the function is linear, it will always be increasing from left to right.

We can get the lower and upper bounds of our function's range by plugging in the lower and upper bounds of the domain into the function.

1) Plug -2 into the function.
3(-2) - 12 = -18

2) Plug 2 into the function.
3(2) - 12 = -6

The range is (-18, -6).

You might be interested in

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

What is one and a half added to three and a half?

mars1129 [50]

One and a half = 1.5
Three and a half = 3.5
1.5 + 3.5 = 5.

6 0

3 years ago

What is the solution to the system of equations? y = x – 10 2x + y = 4

Bumek [7]

2x+(x-10)=4
3x-10=4
3x=14
x=4.6 repeating

6 0

3 years ago

A bag contains 6 green marbles, 9 red marbles, 7 white marbles, and 3 black marbles. What is the probability of drawing a red ma

Alla [95]

The answer is C. 9/25.

There are in total 25 marbles:
6 green + 9 red + 7 white + 3 black = 25 marbles.

There are 9 red marbles of the total 25 marbles. You can draw 9 red Thus, the probability of drawing a red marble out of the bag is 9 out of 25, which is 9/25.

7 0

3 years ago

Sandra had some ribbon to make bows for her hair. she cut the ribbon into 8 pieces. each piece was of a foot long. how long was

DochEvi [55]

8 feet....................

6 0

2 years ago