Download presentation

Presentation is loading. Please wait.

Published byRyder Willden Modified over 3 years ago

1
Today’s Objectives: Today’s Agenda SWBAT… Sketch graphs of parent functions Define domains and ranges of common parent functions Graph functions on a calculator with a restricted domain Graph absolute value functions Name domain and range of an absolute value function 2. Notes Topic: Parent Functions Page 13 #1 – 14, 19 – 26 Handout – Absolute Value Homework:

2
Constant Function f(x) = c Domain {x x } read as “x such that x belongs to the set of all real numbers.” Range {y y = c} read as “y such that y is equal to the constant value.” Features: A straight line gragh where y does not change as x changes.

3
Linear Function f(x) = mx + b Domain {x x } Range {y y } Features: A straight line graph where f(x) changes at a constant rate as x changes.

4
Quadratic Function f(x) = x 2 Domain {x x } Range {y y 0} Features: Graph is shape of parabola. The graph changes direction at its one vertex.

5
Square Root Function f(x) = Domain {x x 0} Range {y y 0} Features: The inverse of a quadratic function where the range is restricted.

6
Cubic Function f(x) = x 3 Domain {x x } Range {y y } Features: The graph crosses the x- axis up to 3 times and has up to 2 vertices

7
Cube Root Function f(x) = Domain {x x } Range {y y } Features: The inverse of a cubic function

8
Power Function f(x) = Domain {x x } Range {y y } Features: The graph contains the origin if b is positive. In most real- world applications, the domain is nonnegative real numbers if b is positive and positive real numbers if b is negative.

9
Exponential Function f(x) = a b x Domain {x x } Range {y y > 0} Features: The graph crosses the y-axis at y = a and has the x-axis as an asymptote

10
Logarithmic Function f(x) = log a x Domain {x x > 0} Range {y y } Features: The graph crosses the x- axis at 1 and has the y- axis as an asymptote.

11
Absolute Value Function f(x) = Domain {x x } Range {y y 0} Features: The graph has two halves that reflect across a line of symmetry. Each half is a linear graph.

12
Page 13 #1 – 14, 19 – 26 Handout – Absolute Value Homework:

13
Polynomial Function http://zonalandeducation.com/mmts/func tionInstitute/polynomialFunctions/graphs /polynomialFunctionGraphs.html http://zonalandeducation.com/mmts/func tionInstitute/polynomialFunctions/graphs /polynomialFunctionGraphs.html *zero degree *first Degree *second degree *third degree Fourth degree

Similar presentations

OK

Q Exponential functions f (x) = a x are one-to-one functions. Q (from section 3.7) This means they each have an inverse function. Q We denote the inverse.

Q Exponential functions f (x) = a x are one-to-one functions. Q (from section 3.7) This means they each have an inverse function. Q We denote the inverse.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on network theory of memory Ppt on history of olympics swimming Ppt on regular expression test Download ppt on turbo generator diagram Ppt on viruses and antiviruses Ppt on modern indian architecture Ppt online to pdf Ppt on international labour organisation Ppt on obesity diet menu Ppt on earthquake resistant building