Question

2. Consider the following function. f(x) = x2 + 9     if x ≤ 1 5x2 −...

2.

Consider the following function.

f(x) =
x2 + 9     if x ≤ 1
5x2 − 1     if x > 1

Find each value. (If an answer does not exist, enter DNE.)

f(1)=

lim x→1− f(x)

=

lim x→1+ f(x)

=

Determine whether the function is continuous or discontinuous at x = 1.

Examine the three conditions in the definition of continuity.

The function is continuous at x = 1.?

or

The function is discontinuous at x = 1. ?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
consider the function f(x)= -1/x, 3, √x+2 if x<0 if 0≤x<1 if x≥1 a)Evaluate lim,→./ f(x)...
consider the function f(x)= -1/x, 3, √x+2 if x<0 if 0≤x<1 if x≥1 a)Evaluate lim,→./ f(x) and lim,→.2 f(x) b. Does lim,→. f(x) exist? Explain. c. Is f(x) continuous at x = 1? Explain.
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 +...
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + 5 x − 3 x2 (c) Find the local maximum and minimum values. (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) (e) Find the interval where the function is concave down. (Enter your answer using interval notation.) (f) Find the inflection point. (x, y) =   
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not continuous? Select the correct answer below: A. Yes B. No, because lim(x,y)→(−1,1)x−yx+y=−1 and f(0,0)=0. C. No, because lim(x,y)→(−1,1)x−yx+y does not exist and f(0,0) does not exist. D. No, because lim(x,y)→(0,0)x2−y2x2+y2=1 and f(0,0)=0.
1. Find the absolute maximum value and the absolute minimum value, if any, of the function....
1. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = −x2 + 4x + 9 maximum = minimum= 2. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x2 − x − 3 on [0, 3] 3. Find the absolute maximum value and the absolute minimum value, if...
= x    if x < 1 5    if x = 1 2 − x2...
= x    if x < 1 5    if x = 1 2 − x2    if 1 < x ≤ 2 x − 2    if x > 2 . (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)(i)     lim x→1− g(x) (ii)     lim x→1+ g(x) (iii)     g(1) (iv)     lim x→2− g(x) (v)     lim x→2+ g(x) (vi)     lim x→2 g(x)
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
consider the function f(x)=-x2+90x-30 1)determine f'(x) (use lim method) 2)determine the equation of the line tangent...
consider the function f(x)=-x2+90x-30 1)determine f'(x) (use lim method) 2)determine the equation of the line tangent to f(x) at x=1
Consider the function below. f(x) = 7 + 4x2 − x4 (a) Find the interval of...
Consider the function below. f(x) = 7 + 4x2 − x4 (a) Find the interval of increase. (Enter your answer using interval notation.) (b) Find the interval of decrease. (Enter your answer using interval notation.) (c) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (d) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 +...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 30 (a) Find the open intervals on which f ′(x) is increasing or decreasing. (Enter your answers using interval notation.) increasing (−12​,∞) decreasing (−∞,−12​) (b) Find the open intervals on which the graph of f is concave upward or concave downward. (Enter your answers using interval notation.) concave upward concave downward (c) Find the x-values of the relative extrema of f. (Enter...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT