The graph of f(x) is depicted on the left. At x=0.5,

Slides:



Advertisements
Similar presentations
What is the next line of the proof? a). 2q = 6p. b). 2q = 6r c). 2q  6pd). 2q  6r e). 2q  6pf). 2q  6r.
Advertisements

Find [G : H] if G = Z 18 and H =. (a) 1.5(b) 3 (c) 6(d) 9 (e) 12(f) 18 (g) None of the above.
7.1 Area of a Region Between Two Curves.
Area Between Two Curves 7.1. Area Formula If f and g are continuous functions on the interval [a, b], and if f(x) > g(x) for all x in [a, b], then the.
Algebra & Calculus. Is 2 euro the best possible return If I invest €1 after 1 year with an interest rate of 100%?
In this section, we will investigate indeterminate forms and an new technique for calculating limits of such expressions.
What is the symmetry? f(x)= x 3 –x.
 Graph is a parabola.  Either has a minimum or maximum point.  That point is called a vertex.  Use transformations of previous section on x 2 and -x.
3-2 Families of Graphs Pre Calc A. Parent Graphs.
N18-Reflections With Absolute Value f(x) XY
WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION.
1 Solve each: 1. 5x – 7 > 8x |x – 5| < 2 3. x 2 – 9 > 0 :
Informal Description f(x) is continuous at x=c if and only if there are no holes, jumps, skips or gaps in the graph of f(x) at c.
Math 1111 Test #2 Review Fall Find f ° g.
15.10 Graphing Polynomial Functions OBJ:  To sketch the graph of an integral polynomial function of degree n with n distinct roots.
Table of Contents Functions: Intervals of Increasing, Decreasing, Constant A function, f(x), is increasing on an open interval if for every x 1 > x 2 in.
Welcome to MM250 Unit 5 Seminar: Functions and Graphs To resize your pods: Place your mouse here. Left mouse click and hold. Drag to the right to enlarge.
Equal distance from origin.
1.3 – Continuity, End Behavior, and Limits. Ex. 1 Determine whether each function is continuous at the given x value(s). Justify using the continuity.
Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.
2.7 Piecewise Functions p In real life functions are represented by a combination of equations, each corresponding to a part of the domain. These.
Section 1.4 Transformations and Operations on Functions.
Transforming curves
Shifting a Function’s Graph
Warmup 3-7(1) For 1-4 below, describe the end behavior of the function. -12x4 + 9x2 - 17x3 + 20x x4 + 38x5 + 29x2 - 12x3 Left: as x -,
Warm-Up 1. On approximately what interval is the function is decreasing. Are there any zeros? If so where? Write the equation of the line through.
9.6 Graphing Exponential Functions
Here is the graph of a function
1.5 The Limit of a Function.
Remember we can combine these together !!
Objective 1A f(x) = 2x + 3 What is the Range of the function
Area a b x y When the portion of the graph of y = f(x) is below the x-axis between x = a and x = b then the value of will be negative.
MATH 1310 Section 5.1.
Shifting a Function’s Graph
MATH 1311 Section 1.3.
Limits of Functions.
Warmup Write in words what this function is doing to all inputs. Try to write the inverse of f(x) just in words. f(x) =
Graph of the derived function
Graphing and Evaluating The Piecewise Function A Series of Examples
2.7 Graphing Absolute Value Functions
Let
Section 2.3 – Analyzing Graphs of Functions
Section 4.4 – Analyzing Graphs of Functions
F(x) = a b (x – h) + k.
Aim: What is the function notation?
Pre-Calculus Go over homework Notes: Increasing and Decreasing
Graphs of Functions FUNCTIONS AND THEIR GRAPHS Essential Questions:
MATH 1311 Section 1.3.
(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7
Piecewise-Defined Function
Finding the Total Area y= 2x +1 y= x Area = Area =
§ 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions.
Replacing f(x) with f(x)+k and f(x+k) (2.6.1)
x f(x) 11/12/18 Bell Work Write and answer the following questions.
MATH 1310 Section 5.1.
“Yesterday was a good day……” Journey 1979
Finding the Total Area y= 2x +1 y= x Area = Area =
Pre-Calculus Go over homework End behavior of a graph
27 – Graphing Rational Functions No Calculator
I can graph a function with a table
Product and Composition of Limits
LINEAR & QUADRATIC GRAPHS
MATH 1310 Section 5.1.
15 – Transformations of Functions Calculator Required
Shifting.
13.1 Finding Limits Using Tables and Graphs
Sec 4.3: HOW DERIVATIVES AFFECT THE SHAPE OF A GRAPH
f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)
Polynomial Relay.
Line Graphs.
Presentation transcript:

The graph of f(x) is depicted on the left. At x=0.5, f(x) < 0, f’(x) > 0, f’’(x) > 0 f(x) < 0, f’(x) < 0, f’’(x) > 0 f(x) < 0, f’(x) > 0, f’’(x) < 0 f(x) > 0, f’(x) > 0, f’’(x) < 0 f(x) > 0, f’(x) > 0, f’’(x) = 0 f(x) > 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=1.0, f(x) = 0, f’(x) = 0, f’’(x) > 0 f(x) = 0, f’(x) < 0, f’’(x) < 0 f(x) = 0, f’(x) > 0, f’’(x) < 0 f(x) = 0, f’(x) = 0, f’’(x) < 0 f(x) = 0, f’(x) = 0, f’’(x) = 0 f(x) > 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=1.2, f(x) < 0, f’(x) > 0, f’’(x) > 0 f(x) < 0, f’(x) < 0, f’’(x) < 0 f(x) < 0, f’(x) > 0, f’’(x) < 0 f(x) > 0, f’(x) > 0, f’’(x) < 0 f(x) > 0, f’(x) > 0, f’’(x) = 0 f(x) > 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=1.6, f(x) < 0, f’(x) > 0, f’’(x) > 0 f(x) < 0, f’(x) < 0, f’’(x) < 0 f(x) < 0, f’(x) < 0, f’’(x) = 0 f(x) > 0, f’(x) = 0, f’’(x) < 0 f(x) > 0, f’(x) > 0, f’’(x) = 0 f(x) < 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=2.1, f(x) < 0, f’(x) > 0, f’’(x) > 0 f(x) < 0, f’(x) < 0, f’’(x) < 0 f(x) < 0, f’(x) < 0, f’’(x) = 0 f(x) < 0, f’(x) < 0, f’’(x) > 0 f(x) > 0, f’(x) > 0, f’’(x) = 0 f(x) < 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=2.3, f(x) < 0, f’(x) > 0, f’’(x) > 0 f(x) < 0, f’(x) = 0, f’’(x) < 0 f(x) < 0, f’(x) < 0, f’’(x) = 0 f(x) < 0, f’(x) = 0, f’’(x) > 0 f(x) < 0, f’(x) > 0, f’’(x) = 0 f(x) < 0, f’(x) = 0, f’’(x) = 0 None of the above

The graph of f(x) is depicted on the left. At x=3.0, f(x) = 0, f’(x) > 0, f’’(x) > 0 f(x) = 0, f’(x) = 0, f’’(x) < 0 f(x) = 0, f’(x) < 0, f’’(x) = 0 f(x) = 0, f’(x) = 0, f’’(x) > 0 f(x) = 0, f’(x) > 0, f’’(x) = 0 f(x) = 0, f’(x) = 0, f’’(x) = 0 None of the above