It is 1.2164
No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.
Which statement describes the rate of change of the following function?f(x) = -6x - 9
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.
It is 1.2164
No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.
The rate of change would be 1.5
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
0 because y=1 can be written as y = (0)x +1 and its gradient is 0.
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
Which statement describes the rate of change of the following function?f(x) = -6x - 9
A linear function has a constant rate of change - so the average rate of change is the same as the rate of change.Take any two points, A = (p,q) and B = (r, s) which satisfy the function. Then the rate of change is(q - s)/(p - r).If the linear equation is given:in the form y = mx + c then the rate of change is m; orin the form ax + by + c = 0 [the standard form] then the rate is -a/b.
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
Rate of Change = Change in value/Change in time to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2 the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1 this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
The rate of change of price and the rate of change of demand as a function of price.