Fiddle sticks! I'm stuck again. Will someones see if I am right?
Which of the following functions has a rate of change that stays the same?
A y=1/3x^2
b y=2^x***
c y=x^2+1
D y=x^2+1
when graphing A, D made Quadratic
c made linear
and b made exponential
if b isn't correct my back up answer is C
Oops! C is suposed to be y=-7x+9...So since c is linear c is correct! Thank u
To determine which function has a rate of change that stays the same, we need to analyze each option.
Option A: y=(1/3)x^2
This is a quadratic function. Quadratic functions have a variable rate of change, meaning that the rate at which the function's output changes varies at different points. Therefore, Option A does not have a constant rate of change.
Option B: y=2^x
This is an exponential function. Exponential functions have an increasing or decreasing rate of change, depending on the base. In this case, the base is 2. The rate of change of an exponential function increases as the input increases. Therefore, Option B does not have a constant rate of change.
Option C: y=x^2+1
This is also a quadratic function. Similar to Option A, quadratic functions have a variable rate of change, so Option C does not have a constant rate of change.
Option D: y=x^2+1
This is the same function as Option C, so it is also a quadratic function. As mentioned earlier, quadratic functions do not have a constant rate of change.
Based on the analysis, none of the given options have a rate of change that stays the same. Therefore, none of the options have a constant rate of change.
To have the rate of change stay the same, the function must be linear, that is,
the slope must be the same as in y = mx + b
A, C, and D are quadratic
B is exponential
So none of your functions has a constant rate of change.