Step-by-step explanation:
We have given,
A rational function : f(x) = 
W need to find :
Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.
For no values of x, we get indetermined form (i.e 
), Hence there is no holes
Vertical Asymptotes:
Plug y=f(x) = ∞ in f(x) to get vertical asymptote {We can us writing ∞ = 
}
i.e ∞ =
or 
or x-4 =0
or x=4, Hence at x = 4, f(x) has a vertical asymptote
X -intercept :
Plug f(x)=0 , to get x intercept.
i.e 0 =
or x - 2 =0
or x = 2
Hence at x=2, f(x) has an x intercept
Horizontal asymptote:
Plug x = ∞ in f(x) to get horizontal asymptote.
i.e f(x) = = 
or f(x) = 
or f(x) = 1 = y
hence at y =f(x) = 1, we get horizontal asymptote
Answer:
Step-by-step explanation:
|2x-3|≤9
so -9≤2x-3≤9
add 3 to each inequality
-6≤2x≤12
divide by 2
-3≤x≤6
Answer:
Answer choices A and D. E would also be correct but it's a perfect correlation and the question said "strong but not perfect"
Step-by-step explanation:
Let
x------> hours worked by Sara last week
y------> hours worked by Joan last week
z------> hours worked by Erin last week
we know that
x=28 hours ------> equation 1
y=x-6-----> equation 2
substitute the value of x in equation 2
y=28-6=22 hours
z=y/2------> equation 3
substitute the value of y in the equation 3
z=22/2=11 hours
<u>the answer is</u>
Sara worked 28 hours last week
Joan worked 22 hours last week
Erin worked 11 hours last week
If an equation shows a relationship between x and y in which the value of y is dependent upon the value of x, y is known as the dependent variable and is sometimes referred to as 'function<span>(x)' or f(x). The final solution of the equation, y, depends on the value of x, the independent variable which can be changed.
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