Question The graph of a function f is shown.The x y-coordinate plane is given. The curve begins at y = 1 on the positive y-axis, appears to go horizontally right, passes through the approximate point (3, 1), goes up and right becoming more steep, and ends at the point (5, 3) nearly vertical.Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]?Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5].Yes, because f is increasing on closed interval [0, 5].    Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5).No, because f is not differentiable on the open interval (0, 5).No, because f does not have a minimum nor a maximum on the closed interval [0, 5].No, because f is not continuous on the open interval (0, 5).If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.)c = 3    0.1

ZFKBVS The Asker · Calculus
The graph of a function f is shown.
The x y-coordinate plane is given. The curve begins at y = 1 on the positive y-axis, appears to go horizontally right, passes through the approximate point (3, 1), goes up and right becoming more steep, and ends at the point (5, 3) nearly vertical.
Does f satisfy the hypotheses of the Mean Value Theorem on the interval [0, 5]?
Yes, because f is continuous on the open interval (0, 5) and differentiable on the closed interval [0, 5].Yes, because f is increasing on closed interval [0, 5].    Yes, because f is continuous on the closed interval [0, 5] and differentiable on the open interval (0, 5).No, because f is not differentiable on the open interval (0, 5).No, because f does not have a minimum nor a maximum on the closed interval [0, 5].No, because f is not continuous on the open interval (0, 5).
If so, find a value c that satisfies the conclusion of the Mean Value Theorem on that interval. (If an answer does not exist, enter DNE.)
c = 
3
 
 
 
Transcribed Image Text: 0.1
More
Transcribed Image Text: 0.1
Community Answer
HQ7OOW

Step 1lGiven, The gnaph of a function 'f'Here f(x) is continuous on x in(0,5) But not on x=0, and 5 because x rarr0^(-)&quadx^(a)rarr5^(+)' f ' is not deterinined.check difterentiatility on x in(0,5)Here f(x) has two different type of graph (one is streight line 8 second one is stee-p curve). So, we have to check at joint point of woth curve. (Jomt point x=3 )f(x) is strenght une & panallel to x-axis on the left of x=3So f^(')(x rarr3^(-)) ... See the full answer