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
saveliy_v [14]
2 years ago
13

Match the key aspect of a function's graph with its meaning

Mathematics
1 answer:
Aliun [14]2 years ago
8 0

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

You might be interested in
Please help me ASAP I'm having bit of trouble with it
olga nikolaevna [1]
3 day 96
The difference is 12
6 0
2 years ago
1/4x-3/4=7/x solving the following rational equation for x
Maksim231197 [3]

Answer:

x¹= -4 , x²= 7

Step-by-step explanation:

1) Determine the defined range

¼x-¾=7/x =/ 0

2) Move the expression to the left-hand side and change its sign

\frac{1}{4} x -  \frac{3}{4}  -  \frac{7}{x}  = 0 \\  \\

3) Write all numerators above the least common denominator 4x

\frac{ {x}^{2} - 3x - 28 }{4x}  = 0

4) When the quotient of expressions equals 0, the numerator has to be 0

x²-3x-28=0

5) Write -3x as a difference

x²+4x-7x-28=0

6) Factor out x from the expression

x(x+4)-7x-28=0

7) Factor out -7 from the expression

×(x+4)-7(x+4)=0

8) Factor out x+4 from the expression

(x+4)×(x-7)=0

9) When the product of the factors equals 0, at least one factor is 0

x+4=0

x-7=0

10) Solve for the x

x+4=0 -> x= -4

x-7=0 -> x=7

11) Check if the solution has defined range

x= -4

x=7

12) The solution has 2 solutions

x1 =  - 4 \:  \: x2 = 7

7 0
3 years ago
I NEEED DONE NOW
melomori [17]
671 because u need it answer 2nd choice
6 0
3 years ago
Determine the slope (m) and y-intercept (b) of the line:<br> y = 2x - 3
svetlana [45]

Answer:

the slope is 2

the y-intercept is -3

Step-by-step explanation:

7 0
2 years ago
How to do? Question #6
aksik [14]

<u>STEP 1 </u>

Since AB = CD , M is the midpoint of AB , and L is the midpoint of CD

then OM = OL

2x - 3 = x + 5 → x = 8

OM = 2x - 3 → OM = 2(8) - 3 → OM = 16 - 3 → OM = 13

<u>STEP 2</u>

Since AB = 60 and M is the midpoint of AB

then MB = 30

<u>STEP 3</u>

Draw a line from O to B to create triangle OMB. Notice that OM is perpendicular so M is a 90° angle, so the Pythagorean Theorem can be used.

OM² + MB² = OB²

13² + 30² = OB² <em>substituted from steps 1 and 2</em>

169 + 900 = OB²

1069 = OB²

32.7 = OB

Realize that OB is the radius.

Answer: 32.7

7 0
3 years ago
Other questions:
  • Find the difference using the number line!!!!!!!!!!!!! Help
    14·1 answer
  • An irregular figure was broken into a triangle and rectangle. The area of the triangle is in2. The area of the rectangle is in2.
    6·1 answer
  • What is the gcf of 45, 90, and 75
    15·1 answer
  • How can you use the GCF of the numerator and the denominator to write a fraction in simplest form?
    9·1 answer
  • A theatre has seats arranged in rows of 24, 382 people attend a show at the theatre. What is the smallest number of rows that is
    7·1 answer
  • What is the following quotient? ^3 square root 60 over ^3 square root of 20
    10·2 answers
  • Y minus 3x equals 19
    7·1 answer
  • So what would the answer be to 2/3 x 6/7
    15·2 answers
  • I don’t really know how to solve these can you guys help?
    15·1 answer
  • Examine the following table. Determine whether the rate of change is constant or variable. If it is constant, state the rate of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!