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
Llana [10]
3 years ago
14

15 Points! Find the range of the functions: f(x) = (x + 1)^2 - 1 f(x) = 7x - 11

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

In both cases you may well benefit from graphing the functions.

Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).


Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.

Thus the range includes all real numbers: (-infinity, infinity).

You might be interested in
Last month it rained 16 out of 30 days. Which ratio is equivalent to the number of days it did NOT rain last month?
nlexa [21]

c, 7:15

Hope this helps! May I please have brainliest? :D

4 0
3 years ago
Read 2 more answers
5/2+18/5+11/4 what is the answer for this question​
Likurg_2 [28]

Answer:

Step-by-step explanation:

basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share

50/20 plus 72/20 plus 55/20

177/20 would be your answer

3 0
3 years ago
Read 2 more answers
A recipe makes 6 2/3 cups. The serving size is 5/6 cup. How many servings does the recipe make?
Dmitry [639]
Answer is a I just know
6 0
3 years ago
What is the volume of this figure?<br><br> Enter your answer in the box.<br><br> yd³
tia_tia [17]

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

6 0
2 years ago
A pool measuring 8 meters by 28 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the poo
Greeley [361]
28 because the wiishddbehehhe is wide enough
3 0
3 years ago
Other questions:
  • Asmaa is shopping for an infant car seat. She has a coupon for 20% off any purchase over $35
    6·2 answers
  • I need help with this.someone please help me !!!!
    15·2 answers
  • True or false
    8·1 answer
  • Check my answers math questions and help me with one question please? the last question i am stuck on.
    12·1 answer
  • There are 27 questions on an algebra test. All of the questions are multiple choice or constructed response. The number of const
    6·1 answer
  • A triangle has vertices at (−4,−6),(3,3),(7,2). Rounded to two decimal places, which of the following is the closest approximati
    9·1 answer
  • What's the value of given expression :
    9·2 answers
  • A bag contains 4 blue, 5 green and 2 purple counters. One counter is
    14·2 answers
  • Brainliest for the correct answer :&gt;
    11·2 answers
  • Ginny divided the cake into 12 pieces. She gave 4 pieces to Sammy. What fraction of the cake did she have left?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!