4x - 2 > 6
4x > 8
x > 2
x + 3 <= -6
x <= -9
so answer in interval notation is (-∞, -9] or (2, ∞)
Answer:
"As the x-values go to positive infinity, the function's values go to positive infinity."
Step-by-step explanation:
End-Behavior of a fucntion is basically what happens to the function when x goes to positive infinity and when x goes to negative infinity.
In this function, we can say:
- as we move to the right (x increases), the value of the function (y-value) increases towards positive infinity.
- Also,
- as we move to the left (x decreases), the value of the function (y-value) decreases towards negative infinity.
From the answer choices, we take the last one -- "As the x-values go to positive infinity, the function's values go to positive infinity."
* Note, this is a cubic function
Answer:
-5.5
Step-by-step explanation:
You just need to subtract the two I'm pretty sure
Answer: f(x) = -ln(x + 1) + 3
Step-by-step explanation:
We want it to be decreasing, then we can write it, for a start, as:
f(x) = -ln(x)
Ok, now we want it to have a positive y intercept, then we can add a real number inside the logarithm, and other outside: such that f(0) = positive number.
f(x) = -ln(x + 1) + 3
Now, when x = 0 we have:
f(0) = -ln(1) + 3 = 0 + 3 = 3
Then we have a decreasing logarithmic function, with an y-intercept larger than zero.
