x2 +7x +10x+5define f(x) at -5 so that it becomes continuous at -534. The function f(x)-is defined everywhere except at x--5. If possible,
sketch the graph and find the x-values (if any) at which f is not
continuous. Classify the discontinuities as being removable or essential. If the latter, state
whether it is a jump discontinuity, an infinite discontinuity, or neither.
Image Transcriptionclose
x2 +7x +10 x+5 define f(x) at -5 so that it becomes continuous at -5 34. The function f(x)- is defined everywhere except at x--5. If possible,
Let's examine the numerator
x2 + 7x + 10 = x2 + 2x + 5x + 10 = x(x+2) + 5(x+2) = (x+2)(x+5)
hence the given function is actually (x+2) in the simple form. Hence it's a continuous function exverywhere except at x where deominator is zero.
Denominator: x+5 = 0 when x = -5.
At x=-5, the function doesn't exist.
Hence there is no question of continuity at x = -5.
So, the answer to the first part is:
1. The graph is identical to the graph of a linear function f(x) = x + 2 except at x = -5 where the function d...
Math
Calculus
Related Calculus Q&A
Find answers to questions asked by student like you
Show more Q&A addQ: The total profit (in dollars) from the production and sale of x calendars if P(x)= 22x-0.02x2-500; 0...
A: It is given that, the total profit from the production and sale of x calendar is P(x)=22x–0.02x2–500...
Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)
A: Click to see the answer
Q: Logarithmic Differentaition - see attachment
A: Given information:The given function is
Q: Calculus Question
A: The given curve is,
Q: Find the domain: g(x) = ln(e^x -5)
A: The domain of ln z is z>0. We'll use the same concept here. So e^x-5>0.
Q: Please help.
A: The given series is,
Q: Help in #1 please.
A: Given information:The parametric equation is
Q: Logarithmic differentiation
A: The given function is y=(x+1)²(x-2)(x²+3).
Q: A car is traveling at a rate of 23 kilometers per hour when t=7 hours. The acceleration of the car i...
A: To calculate the velocity from the given data
Sorry about that. What wasn’t helpful?
