The function 𝑓(𝑥) = (2/5)𝑥 is shown on the coordinate plane. Describe the end behavior of f(x).
As x decreases without bound, the graph of f(x) ______________________________.
As x increases without bound, the graph of f(x) ______________________________.
The exponential function in the graph shows the mass, in grams, of a radioactive substance as it decays over time, in hours. The linear function in the table represents the increase in a substance’s mass, in grams, over time, in hours.
How does the y-intercept of the exponential function compare to the y-intercept of the linear function?
a. 10 less than
b. 10 more than
c. 2 more than
d. 2 less than
As x decreases without bound......the graph of f(x) increases without bound
As x increases without bound.......the graph of f(x) decreases but is bounded below by 0
The y intercept for the exponential function is (0,10)
For the linear function......y decreases by 4 every time that x decreases by 1
So when x decreases by 2, y decreases by 8
So.......from (2, 20) the y intercept is ( 0, 12)
So .... the linear function is 2 more