What is the function of the graph? {applet}

Slides:



Advertisements
Similar presentations
5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.
Advertisements

Local Maximum/Minimum of Continuous Functions
Algebra 1 Mini-Lessons MA.912.A.2.4: Determine the domain and range of a relation.
Is the shape below a function? Explain. Find the domain and range.
7.2 Polynomial Functions and Their Graphs
Suppose that f(x) and g(x) are functions for which g(x) = f(x) – 5 for all values of x. a.How are the graphs of f(x) and g(x) related geometrically? b.
Maximum and Minimum Values
f has a saddle point at (1,1) 2.f has a local minimum at.
Increasing and Decreasing Functions and the First Derivative Test.
Math – Getting Information from the Graph of a Function 1.
This is the graph of y = sin xo
all possible y -values all possible x -values The lowest or highest point of a parabola. Minimum: lowest point (bottom of the valley) Maximum: highest.
5.2 Polynomials, Linear Factors, and Zeros P
Unit 9 Review Find the equation of the axis of symmetry, along with the coordinates of the vertex of the graph and the y-intercept, for the following equation.
Section 9.5 – Linear Programming. (-3, 21) (0, -3) (-3, -3)
Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.
Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:
 Average – mean, median and mode are three “kinds” of average (commonly used to describe the mean).  Mean temperature – average temperature of the air.
Image from
First derivative: is positive Curve is rising. is negative Curve is falling. is zero Possible local maximum or minimum. Second derivative: is positive.
Use the Midpoint Rule to approximate the given integral with the specified value of n. Compare your result to the actual value and find the error in the.
Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.
Algebra II Explorations Review ( )
2-5 Absolute Value Functions and Graphs
What is the average rate of change of the function f (x) = 8 x - 7 between x = 6 and x = 7? Select the correct answer:
Approximate the area of the shaded region under the graph of the given function by using the indicated rectangles. (The rectangles have equal width.) {image}
Find the domain of the function: {image} .
Use a graphing calculator to determine the graph of the equation {image} {applet}
Graphing Quadratics in Vertex Form
Which of the following graphs is the graph of the derivative of the function {image} . 1. {applet}
(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices
Completing the square means writing the unknown terms of a quadratic in a square bracket Example because Application To find the maximum or minimum value.
Find the inflection points of the following function: f ( x ) = 9 x sin x {image}
The graph of the function y = x x is: {applet} Find the coordinates of its vertex and its intercepts. Select the correct answer: vertex (2, - 4);
Sketch the graph of the function {image} Choose the correct answer from the following. {applet}
Express the given quantity as a single logarithm: {image} Choose the answer from the following: ln 515 ln 514 ln 509 ln 513 ln 503 ln
Quadratic Functions.
Find the foci of the hyperbola 16 x y 2 = 400
Graph 2 Graph 4 Graph 3 Graph 1
Consider the function {image} and find the value of {image} Choose the correct answer from the following:
Find the inflection points of the following function: f ( x ) = -7 x sin x {image} {image}
Use a table of values to estimate the value of the limit. {image}
x = 4y - 4 x = 4y + 4 x = 4y - 1 y = 4x - 4 y = 4x - 1 y = 4x + 4
-20 is an absolute minimum 6 is an absolute minimum
Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.
Find the local minimum value of {image} {applet}
Graph the function, not by plotting points, but by starting with the graph of the standard functions {image} given in figure, and then applying the appropriate.
Which of the following graphs corresponds to the inequality {image} ?
Using the graph of f(x) below, estimate the value of the derivative at the point x = 0. {applet}
Unit 9 Review.
X y y = x2 - 3x Solutions of y = x2 - 3x y x –1 5 –2 –3 6 y = x2-3x.
Determine the graph of the given function. {image}
What is the function of the graph? {applet}
Choose the differential equation corresponding to this direction field
Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}
If {image} , then if {image} exists, to what value does it converge
Use the graph of f to find the following limit. {image} {applet}
For the function f whose graph is given, state the limit
Welcome: The graph of f(x) = |x – 3| – 6 is given below
Analysis of Absolute Value Functions Date:______________________
 .
How do we graph and interpret functions?
If {image} choose the graph of f'(x).
Section – Linear Programming
f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)
Sketch the curve. {image}
Find the following limit. {image}
Which of the following expressions is the equation of the function {image} {applet}
Line Graphs.
The figure shows the graphs of {image} , {image} , {image}
Presentation transcript:

What is the function of the graph? {applet} {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Estimate the extreme values of the function: {image} 154, 190 391.18, 208.95 1,234, -215 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find all the maximum and minimum values of the function: {image} 6.25 20 0.05 1.25 -0.2 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the maximum and minimum points of the function: {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the minimum points of the function: {image} -3, 3 -13, 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50