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
erica [24]
3 years ago
5

Which statement is true regarding the graphed functions?

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

The correct option is \boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}.

Further explanation:

Consider a function f\left(x\right) as y.

\boxed{f\left(x\right)=y}                                                     ...... (1)

Consider the function g\left(x\right) as z.

\boxed{g\left(x\right)=z}                                                   ...... (2)

Substitute 0 for x in equation (1) to obtain the value of f\left(0\right) and also the value of f\left(0\right) can be obtained from the graph by finding the value of y at x=0.

\boxed{f\left(0\right)=4}

Substitute 2 for x in equation (1) to obtain the value of f\left(2\right) and also the value of f(2) can be obtained from the graph by finding the value of y at x=2.

\boxed{f\left(2\right)=0}

Substitute -2 for x in equation (2) to obtain the value of g(-2) and also, the value of g(-2) can be obtained from the graph by finding the value of z at x=-2.

\boxed{g\left({-2}\right)=0}

Now check the option that is satisfied by the obtained value.

In the option (a) the value of f(0) is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of f(0) is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of f(2) is 0 which is equal to the obtained value and the value of g(-2) is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of f(-2) is 0 but from the graph it can be observed that the value of f(-2) is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.

katen-ka-za [31]3 years ago
7 0

let's analyze each case to determine the solution

<u>case 1) </u>f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

<u>case 2) </u>f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

<u>case 3) </u>f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

<u>case 4) </u>f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true





You might be interested in
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units,
tekilochka [14]

Answer: The value of k is 5 units.

Step-by-step explanation:

Since we have given that

The graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k

If g(x) is obtained by shifting f(x) down by 5 units,

Then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5

Hence, k = 5 units

Therefore, the value of k is 5 units.

7 0
3 years ago
Read 2 more answers
a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for
monitta

The equation of the location of the second street in standard form is

x + y = -6

Equation of the line:

The equation of the line represents the algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line can be formed with the help of the slope of the line and a point on the line.

The general form of the equation of a line with a slope m and passing through the point (x₁,y₁) is given as:

y = mx + b.

Where

m represents the slope of the line.

Given,

Point = ( -5 , -1)

Here we need to find the equation of the location.

For that, first we have to find the slope of the line,

Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.

The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.

So, in street 1 the equation is

=> y =-x +1

And street 2 the equation is  

=> y =-x +b,  

solve for b by plugging in (-5,-1)

=> -1 =-(-5) +b

=> b= -1-5 = -6

=> b = -6

Now apply the value of b on the equation,

Then

=> y = -x -6

=> y + x = -6

So, the equation of the location is x + y = -6.

To know more about Equation of the line here.

brainly.com/question/2564656

#SPJ4

7 0
1 year ago
1. What is the range? Write your answer like #<br> Helppppppp
Korolek [52]
I don’t know sorry but like how’s yoonbum doing? Also like wanna be friends?
4 0
2 years ago
Instructions: Find the measure of the indicated angle to the nearest degree.
PolarNik [594]

Answer:

15.78°

Step-by-step explanation:

Let the angle be x.

From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)

Therefore, The trigonometric ratio is the tangent ratio.

tan x = O/A

tan x =13/46

x = 15.78°

8 0
1 year ago
Independent Practice
kykrilka [37]

Answer:

C.

0.5; 13.5; 1093.5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Find the area of the shaded region. Round to the nearest tenth if necessary
    6·1 answer
  • Someone help me out I have 30 minutes left on the test
    7·1 answer
  • if a line segment has endpoints A(3x+5, 3y) and B(x-1,-y), what are the coordinates of the midpoint of ab
    12·1 answer
  • What is the average mean of these scores 90 80 60 and 50
    15·1 answer
  • 5÷921 with a remainder
    14·2 answers
  • Which expression could be used to find the volume of the prism below?
    11·1 answer
  • 4. In football, the team that has the ball has fourchances to gain at least ten yards. If they don't gain at least ten yards, th
    8·2 answers
  • Yesterday Clara reached 4 people in 10 phone calls while Toby reach three people in 8 phone calls if they continue at this rate
    8·1 answer
  • Solve the equation. <br><br> -4.6p - 6.3p + 3.9= -9.18
    6·2 answers
  • A carpet is in the shape of a rectangle 6 metres by 4 metres. Mel wants to put tape all around the edges of the carpet. Work out
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!