All categories

3 years ago

What is the range of the function g(x) = |x - 12| - 2?

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

Step-by-step explanation:

The function is given by

It is an absolute value function which has a v- shaped graph.

The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.

Hence, the range would be the all y values greater than or equal to -2.

Hence, the range is given by

You might be interested in

Keisha has a total of $6000 to invest in two accounts for 1 year. One account pays 5% simple interest and the other pays 6% simp

adoni [48]

Answer: He invest $2500 in account with rate of interest 5% and invest $3500 in account with 6% of interest so that the total interest earned is $335.

Step-by-step explanation:

Given: The rate of interest for account 1= 5%=0.05

The rate of interest for account 2= 6%=0.06

Let P be the Principal amount Keisha invested in the account with 5% interest .

Then the amount she will invest in account with 6% interest= 6000-P

Time = 1 year

The simple interest is given by:-

$S.I.=Prt$

Simple interest for account 1= $P(0.05)(1)=0.05P$

Simple interest for account 2= $(6000-P)(0.06)(1)=360-0.06P$

According to the question,

Total Interest =$335

$\Rightarrow0.05P+360-0.06P=335\\\Rightarrow\ -0.01P=335-360\\\Rightarrow\ -0.01P=-25\\\Righgtarrow\ P=2500$

So, he invest in account with 5% interest= $2500

He invest in account with 6 % interest=$6000-$2500=$3500

8 0

4 years ago

Is a 78 degree angle a right,straight,obtuse or acute angle

aleksley [76]

Acute. 90 degrees is a right angle, 180 degrees is a straight angle, obtuse angles are greater than 90 degrees, while acute are less than 90 degrees.

3 0

3 years ago

Read 2 more answers

The inverse of G(x) is a function.

poizon [28]

Answer:

False

Step-by-step explanation:

In order for the inverse of a relation to be a function, it must pass the horizontal line test. That is, a horizontal line cannot intersect the graph in more than one place. Here, the x-axis intersects the graph of G(x) in 3 places, so the inverse of G(x) is not a function.

4 0

3 years ago

The standard form of a quadratic equation can be written as____

myrzilka [38]

Ax² + bx + с = 0
_____________

4 0

4 years ago

Read 2 more answers

Choose a number between 67 and 113 that is a multiple of 3, 9, and 12

Anestetic [448]

72 is multiples of 3,9, and 12

3 0

3 years ago