Maths-
General
Easy
Question
The graph of the cubic function f is shown in the xy-plane above. If f (a) = 0, where a is a constant, what is one possible value of a?
The correct answer is: 8
Hint:
The concept used in this question is concept of functions.
Functions are relations where for each input there is particular output.
Functions are represented by f(x).
Point at which graph cut x-axis are roots of equation.
Step by step explanation:
Given:
Graph cut x-axis at points x = 2, x = 4 and x = 8.
Step 1:
Points at which graph cut x-axis are roots of function.
∴ function has three roots
⇒ it is cubic equation.
Step 2:
This points satisfy the equation and when put in the equation gives zero.
∴ f(2) = 0
f(4) = 0,
f(8) = 0
Related Questions to study
Maths-
Which of the following could be the graph of
Which of the following could be the graph of
Maths-General
Maths-
What is the sum of the complex numbers 6 + 5i and 8 + 3i2?
What is the sum of the complex numbers 6 + 5i and 8 + 3i2?
Maths-General
Maths-
C(t) = 50.25t + 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤ 8. In the function, what does the number 50.25 represent?
C(t) = 50.25t + 228.75
The average cost per square foot, in dollars, of a condominium in City X can be modeled by the function C defined above, where t is the number of years after 2001 and 0 ≤ t ≤ 8. In the function, what does the number 50.25 represent?
Maths-General
Maths-
Which of the following values is a solution to the equation above?
Which of the following values is a solution to the equation above?
Maths-General
Maths-
In the right triangle above, x = 60. What is the length of side AB?
In the right triangle above, x = 60. What is the length of side AB?
Maths-General
Maths-
Torricelli’s law is given by the equation above, where m represents the mass, h represents the height, ν represents the velocity, and g is a constant. According to the equation from Torricelli’s law, which of the following is equivalent to the velocity, ν?
Torricelli’s law is given by the equation above, where m represents the mass, h represents the height, ν represents the velocity, and g is a constant. According to the equation from Torricelli’s law, which of the following is equivalent to the velocity, ν?
Maths-General
Maths-
For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each of a mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
Maths-General
Maths-
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?
The formula above relates volume V, mass M, and density D. What is density in terms of volume and mass?
Maths-General
Maths-
Which of the following is equivalent to the expression above?
Which of the following is equivalent to the expression above?
Maths-General
Maths-
If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?
If 7(2x − 5) − 2(2x − 5) = 4(x + 5), what is the value of x?
Maths-General
Maths-
Which of the following is the solution to the equation above?
Which of the following is the solution to the equation above?
Maths-General
Maths-
Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?
Which of the following is an equation of the line in the xy-plane that has slope 2 and passes through the point (0, 3) ?
Maths-General
Maths-
f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?
f(x) = (2x − 1) + 2
For the function f defined above, what is the value of f(1)?
Maths-General
Maths-
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )
During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
(Note: 1,013mb = 760 mmHg )
Maths-General
Maths-
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
Maths-General