Answer:
C) As x approaches positive infinity, f(x) approaches positive infinity
Step-by-step explanation:
- The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2. So x ≠ 0 and x ≠ 2.
- This implies that there are asymptotes at x=0 and x=2.
Therefore, the function is NOT continuous.
- The function is NOT increasing over its entire domain as
f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2
Step-by-step explanation:
if you need any explanation you can ask
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
Answer:
2 : 1
Explanation:

<u>1st sector</u>:

<u>2nd sector</u>:

Ratio of 1st sector to 2nd sector:
44.68 : 22.34
2 : 1
sin P = 24/26
cos P = 10/26
tan P = 24/10
sin Q = 10/26
cos Q = 24/26
tan Q = 10/24
you have the first part right. using Soh Cah Toa is the best way to find the trig function when given a labeled triangle.
remember the hypotenuse is the longest side and always across from the 90 degree angle.