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
raketka [301]
2 years ago
15

Select all the correct answers. Function g is a transformation of the parent exponential function. Which statements are true abo

ut function g? A Linear graph function where red line g intercepts y-axis at (0, 4) and passes through (minus 10, 3) and (3, 10) Function g is positive over the interval . The domain of function g is . Function g has a y-intercept of . Function g decreasing over the interval . Function g is 4 units above function f. The range of function g is .
Mathematics
1 answer:
lesantik [10]2 years ago
5 0

The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

The parent function i.e. exponential function is defined by:

y=f(x)=aˣ

From the graph given below,

1. The graph of the function g is 3 units above the graph of the parent exponential function. as the parent exponential function aˣ cuts the y-axis at (0,1) and the child transformed function cut at (0,4) for which g is 4-1=3 units above the parent function  

2. The domain of the function is set of all the inputs for which function is defined. From the graph of function g, it is clear tha the domain of the function is (-∞ , ∞ ) as the domain of the parent exponential function is also (-∞ , ∞ ).

3. The y-intercept is the point at which function cut the y-axis. Graph of function g cut the y-axis at (0, 4). Therefore, Function g has the y-intercept at (0,4).

4. From the graph it is clear that Function g increases over the interval (-∞, 0) .

5. The range of the function is the output values of the function. From the graph, it is observed that the range of function g is (3, ∞). as its minimum value is 3 then the maximum value is ∞.

6. As, the graph of function g is drawn above the x-axis. Therefore, Function g lies completely on +ve y-axis, so function g is positive over the interval (-∞ , ∞ ).

Therefore The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

Learn more about the exponential function

here: brainly.com/question/2456547

#SPJ10

You might be interested in
use a system of linear equations with two variables and two equations to solve. a number is 11 more than another number. twice t
Eva8 [605]

The value of required two numbers x and y are 7 and -4 respectively. These values are find out using Elimination method.

Let the required first number and second numbers be x and y respectively .

We have given that, one Number is more than other by 11

i.e., the difference of two numbers is equal to 11

x - y = 11. …..(1)

And twice the sum of the two numbers is 6 i.e.,

2(x + y) = 6 => 2x + 2y = 6 => x +y = 3 …….(2)

Now , equation (1) and (2) are linear equation with two variables x and y .

We shall solve above two equations and find out the value of two variables. Using Elimination method , In which value of one variable is find out by eliminate the second variable through their coefficient comparison.

Added the equation ( 1) and (2) we get, 2x = 14 => x = 7

Put the value of x in equation (1) we get,

7 – y = 11 => y = -4

Thus, we get the values of two variables x and y is 7 and -4 respectively.

To learn more about linear equation, refer:

brainly.com/question/21243732

#SPJ4

7 0
1 year ago
Jack's football team scored 3 more field goals (x) than touchdowns (y) in
AveGali [126]

Answer:

Why is his name Jack? lol what about Aron or Liam...something hotter i mean he is a football player.

Step-by-step explanation:

8 0
2 years ago
Could I get help with this ?
Leokris [45]

Answer:

top is -2,4 and bottom is 3,-2 ??

hope that what u need

Step-by-step explanation:

???

7 0
3 years ago
A number between 891 and 909 that is divisible by 10​
Murrr4er [49]

Answer:

900

Step-by-step explanation:

892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9

7 0
3 years ago
Read 2 more answers
Answer one question.
sweet-ann [11.9K]

Answer:

i think D) x > -21 is answer

6 0
3 years ago
Other questions:
  • A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model y
    15·2 answers
  • Can an expert help with this
    12·1 answer
  • What is the equivalent expression of 9+ a J plus 6J -1+ 2K
    12·1 answer
  • Determine the following product: 2a(4a^3-3a-1)
    8·1 answer
  • Students in Mr.Hill’s class were asked how many
    14·2 answers
  • HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Find the 12th term of the geometric sequence 5, 20, 80, ...
    8·1 answer
  • A polyhedron with 16 edges cannot be a prism. Explain why this must be true
    12·1 answer
  • Please help me on this!!! I’d really appreciate it!!!
    15·1 answer
  • Select all correct answers
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!