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
il63 [147K]
3 years ago
14

Which statement correctly describes the end behavior of f(x)=ax+b, where a and b are positive numbers?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

f(x)=ax+b

Where, a and b are positive numbers.

The given function is the slope intercept form of a linear function. Where a is the slope and b is y-intercept.

Since slope is positive therefore function approaches to infinity as x approaches to infinity and function approaches to negative infinity as x approaches to negative infinity.

It is also proved by using limits.

lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}(ax+b)

Apply limits.

lim_{x\rightarrow \infty}f(x)=a(\infty)+b=\infty

Similarly,

lim_{x\rightarrow -\infty}f(x)=lim_{x\rightarrow -\infty}(ax+b)

Apply limits.

lim_{x\rightarrow -\infty}f(x)=a(-\infty)+b=-\infty

Therefore option 2 is correct.

f(x)\rightarrow \infty \text{ as }x\rightarrow \infty

f(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty

You might be interested in
Which set of angles shares rayAF as a common side?
Natali [406]
BAF and FAD I took the test !
3 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
Alla [95]

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13

4 0
3 years ago
Find the length of fencing required to go all the way around the rectangular field that is 136000mm wide and 425m long
Anna [14]
The answer is 57800m^2
7 0
2 years ago
Which is true about the functional relationship showing in the graph
Debora [2.8K]

Answer

Where’s the graph

:

Step-by-step explanation:

6 0
3 years ago
Find the measure of x 5.<br> *5 = [?]<br> 68 112°<br> 112\68
stellarik [79]
Angle 5 is 112 degrees
7 0
3 years ago
Read 2 more answers
Other questions:
  • Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each.
    15·2 answers
  • How do i solve this?
    11·1 answer
  • Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used m
    14·2 answers
  • F(x) = 4x + 5<br><br><br><br> Need help have to show all steps
    13·1 answer
  • A town official claims that the average vehicle in their area sells for more than the 40th percentile of your data set. Using th
    12·1 answer
  • What is the value of r in the equation −43r−1=−2 ?
    14·1 answer
  • What is 6.87 rounded to the nearest tenth
    10·2 answers
  • .Triangle ABC is right angled at B,  AB= 8 cm, BC = 15 cm, find AC​
    8·1 answer
  • Thank you Question on pic !
    6·2 answers
  • Please work this out
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!