1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lubasha [3.4K]
3 years ago
11

Graph each absolute value function. State the domain, range, and y-intercept.

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
Answer:

i. D:All real numbers

ii.R:y\le-2

iii. Y-int: b=-2.5

Step-by-step explanation:

The given function is

y=-\frac{1}{2} |x-1|-2

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

y=-\frac{1}{2} |x-1|-2

The vertex of this function is

(1,-2)

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

y\le-2

Or

(-\infty,2]

iii. To find the y-intercept, we substitute x=0 into the funtion.

y=-\frac{1}{2} |0-1|-2

y=-\frac{1}{2} (1)-2

y=-2.5

The y-intercept is b=-2.5

The graph is shown in the attachment.

You might be interested in
What is true about the function graphed below?
Dafna1 [17]

Answer:

  D. The axis of symmetry is the y-axis.

Step-by-step explanation:

The vertex is at coordinates (0, 3). Since this parabola opens vertically, its axis of symmetry is the x=coordinate of the vertex: x = 0. That is the equation of the y-axis.

The axis of symmetry is the y-axis.

8 0
2 years ago
In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?
Colt1911 [192]
I don't see a table but I can give you the means to answer it yourself.  The inverse function is represented by this: y= \frac{k}{x} where k is your constant.  You are given a k value of 4.  If you solve this for k then you will get xy=4.  In your tables, multiply your x value by your y value within your coordinate points and if you get a product of 4 each time you multiply x by y, then that table is your answer.
8 0
3 years ago
What’s the mean of these numbers: 7, 14, 15, 9, 11, 14, 11, 10, and 17
harkovskaia [24]

Answer:

12

Step-by-step explanation:

Mean is the average of all the numbers. Add up all the numbers then divide by how many you have.

7 0
2 years ago
Read 2 more answers
Find the y intercept of the line on the graph
OlgaM077 [116]

Answer:

Step-by-step explanation:

y-intercept is -4

4 0
2 years ago
Which pair or pairs of polygons are congruent?
nlexa [21]
I believe tye answer is C
6 0
3 years ago
Read 2 more answers
Other questions:
  • If TV= 74 and WV = 4x+1 Solve for X
    12·1 answer
  • Can someone explain how to solve this and the solution? Please and thank you :)
    11·1 answer
  • What is 6.63 rounded to the nearest tenth
    5·2 answers
  • Given the arithmetic sequence an= 2 - 3(n - 1), what is the domain for n?
    7·2 answers
  • 4x+y-2z=5 -4x-5y+3z=-3 -4x-6y+z=16
    10·1 answer
  • What is reasonable estimate for the problem
    15·2 answers
  • Factor the sum of terms as a product of the GCF and a sum
    5·1 answer
  • A robot can complete 5 tasks in 2/3 hour. Each task takes the same amount of time.
    14·1 answer
  • 8th grade math, please help.
    13·2 answers
  • PLEASE HELP ME.. (no links)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!