# Calc

The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false?

The graph of f is always concave up.

The graph of f has an inflection point at x = 0.

The graph of f has a relative minimum at x = 0.

The graph of the second derivative is always positive.

1. 👍 0
2. 👎 0
3. 👁 268
1. consider the case

f'(x) = x

1. 👍 0
2. 👎 2
posted by Steve

## Similar Questions

1. ### Calculus really quick check

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 2. Which of the following statements must be true? Edit The graph of f has an inflection point at x = 2. The graph of f has a relative maximum at x = 2.

asked by Ke\$ha on May 22, 2017
2. ### Math

For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function - f(x) = -1/2 [x-1] These functions always mess me up! Could someone tell me

asked by Rosanna on September 19, 2006
3. ### Calculus

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false? (4 points) The graph of f has an inflection point at x = 0. The graph of f has a relative maximum at x =

asked by Henry on February 20, 2016
4. ### College Algebra

1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the graph of y = |x| by which transformations? What is the horizontal shift? By what factor is the graph stretched or shrunk vertically and how is it reflected? What is the

asked by Kameesha on August 4, 2012
5. ### Calculus check

Help me check my calculus 1. The graph of f '(x) is continuous, positive, and has a relative maximum at x = 0. Which of the following statements must be true? a. The graph of f is always concave down. b.The graph of f is always

asked by Chris on July 2, 2018
6. ### Math

If the graph of f ′(x) is continuous and decreasing with an x-intercept at x = c, which of the following must be true? The graph of f has a relative maximum at x = c. The graph of f has an inflection point at x = c. The graph of

asked by Rich on January 31, 2018
7. ### calculus

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true? The graph of f has an x-intercept at x = c. The graph of f has an inflection point at x = c. The graph of f has a

asked by Bree on May 20, 2016
8. ### Calculus

The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true?

asked by joe9 on May 4, 2015
9. ### Algebra

1.Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-3=8/3(x+2); (-2, 3) A.y+3=-3/8(x-2) B.y-3=-3/8(x+2) C.y-2=-3/8(x+3) D.y+3=3/8(x-2) 2.Describe how the graph of y=/x/

asked by GummyBears on December 4, 2015
10. ### precalc

For the graph y=2, what is the: A) Domain B) Range C) X values of all zeroes D) Equations of all asymptotes E) 1 to 1 or not F) Continuous or not (if continuous tell where) G) Increasing, decreasing, both (if both tell where), or

asked by u on September 3, 2015

More Similar Questions