Given the piecewise function:
Let's select the graph which represents the function.
We have the graph below:
For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2
For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)
For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)
ANSWER:
Graph B
Answer:
x = 1
Explanation:
Rule: log(a) + log(b) = log(ab)
cancel out log on both sides
relocate constant variable
take 3 as a common factor
divide both sides by 3
middle term split
factor common terms
collect into groups
set to zero
relocate variables
There must be a positive solution for log, so the solution is only x = 1
We have been given the function
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
Now, we simplify this step by step.
First of all . Thus, we have
Now, we can easily simplify it by PEMDAS
Therefore, the value of f(3) is 98.