Answer:
Domain is all real numbers.
Range is all real numbers.
Step-by-step explanation:
The domain is all the possible x values that are allowed.
The range is all the possible y values that are allowed.
Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.
This particular linear function (of form y = mx + c) has gradient m = 3 so slopes up to the right, and y-intercept c = - 5, an hence x-intercept 5/3.
The graph is sketched below and clearly extends indefinitely in terms of range and domain.
graph{3x-5 [-9.71, 10.29, -5.92, 4.08]}
Answer:
f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Step-by-step explanation:
The function of the form
where and
is called the exponential decay function.
If we replace base 'b' by 1 - r, then we get the decay function of the form
y = abˣ
where 0 < b < 1
- <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>
Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as
f(x) = 4(2/3)ˣ
here 0 < b < 1 and a > 0
Therefore, f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Https://media.education2020.com/evresources/2090439_d5cda3c0-18fe-4e0b-a7b1-7bdb7de4a90f.png https://media.education2020.com/evresources/2090439_bd5347b3-dbdd-4b20-b6db-8fb382f5a76d.png https://media.education2020.com/evresources/2090439_1e3de77c-6df9-4b45-ad4c-56429490d390.png https://media.education2020.com/evresources/2090439_498e0624-1784-4848-b67a-36dfbd500a8b.png
Thats the wepsite if u want to see the answer. good luck!