Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
Answer:
my answer would be c. y=lX+7l
The total cost will be $52.44.
Please vote my answer brainliest! Thanks.
Answer:
so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42
