rsyed5 said:If f(x)=x^3+ax^2+bx has stationary points at: x= 2 and x= -4/3, find the value of a and b.
In my homework, can't work out, Thanks in advance
The purpose of finding a and b from a function is to determine the specific values of the parameters a and b in the equation of the function. This allows us to understand and manipulate the behavior of the function and make predictions about its output based on different input values.
To find a and b from a linear function, we can use the slope-intercept form of the equation, y = mx + b, where m is the slope and b is the y-intercept. The value of b can be found by looking at where the function crosses the y-axis, while the value of a can be calculated by using any two points on the line and solving for the slope (m).
Yes, a and b can both be negative numbers in a function. The values of a and b represent the coefficients that determine the shape and position of the function, so they can be positive, negative, or zero depending on the specific function.
In a quadratic function, a and b are related in that a determines the shape of the parabola, while b determines the location of its vertex. When a is positive, the parabola opens upwards and when a is negative, the parabola opens downwards. The value of b shifts the parabola horizontally along the x-axis.
To graph a function using a and b, we can first plot the y-intercept, b, on the y-axis. Then, we can use the slope, a, to find additional points on the graph by using the rise over run method. Once we have enough points, we can connect them to create the graph of the function.