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Exponential Functions

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Presentation on theme: "Exponential Functions"β€” Presentation transcript:

1 Exponential Functions
A.SSE.1.a,b A.CED.1, 2 A.REI.3, 10, 11 F.LE.1, 2, 3, 5 F.BF.1, 2, 3 F.IF.3, 4, 6, 7 N.RN.1, 2 N.Q.2 ccssmathstandardaug2013.pdf

2 Curriculum Vocabulary
Simple Interest In a simple interest account, the interest earned at the end of each year is a percent of the original deposited amount (also known as the original principal). Simple Interest Formula: 𝑰=𝒑𝒓𝒕 (for interest only) 𝑷 𝒕 = 𝑷 𝟎 βˆ™ 𝟏+𝒓𝒕 (total over time) Compound Interest In a compound interest account, the interest earned at the end of each year is a percent of the account balance at the beginning of the year. Compound Interest Formula: 𝑷 𝒕 = 𝑷 𝟎 βˆ™ 𝟏+𝒓 𝒕

3 Curriculum Vocabulary
Horizontal Asymptote A horizontal asymptote is a horizontal line that a function gets closer and closer to, but never intersects. Basic Function A basic function is the simplest function of its type. EXAMPLES: The basic linear function is 𝑓(π‘₯)=π‘₯ The basic exponential function is 𝑔 π‘₯ = 2 π‘₯ The basic quadratic function is β„Ž π‘₯ = π‘₯ 2

4 Curriculum Vocabulary
Transformation A transformation is the mapping, or movement, of all the common points of a figure in a plane according to a common operation. Vertical Translation A vertical translation is a type of transformation that shifts the entire graph up or down. A vertical translation affects the y-coordinate of each point on the graph.

5 Curriculum Vocabulary
Coordinate Notation Coordinate notation is a notation that uses ordered pairs to describe a transformation on a coordinate plane. EXAMPLE: π‘₯,𝑦 π‘₯+π‘Ž,𝑦+𝑏 Argument of a Function The argument of a function is the variable on which the function operates. In the function 𝑓 π‘₯+5 =7, the argument is π‘₯+5

6 Curriculum Vocabulary
Horizontal Translation A horizontal translation is a type of transformation that shifts the entire graph right or left. A horizontal translation affects the x-coordinate of each point on the graph. Reflection A reflection of a graph is a mirror image of the graph about a line of reflection. Line of Reflection A line of reflection is the line that the graph is reflected about.

7 Curriculum Vocabulary
Cube Root A number 𝑏 is a cube root of a number π‘Ž if 𝑏 3 =π‘Ž. EXAMPLE: The cube root of 8 is 2 Index For RADICAL EXPRESSIONS, the index is the number that sits outside the radical. In the radical expression , the number 4 is the index

8 Curriculum Vocabulary
nth Root If 𝑛 represents a positive number, then a number 𝑏 is the 𝑛th root of π‘Ž if 𝑏 𝑛 =π‘Ž. EXAMPLE: The number 2 is the 4th root of 16, because 2 4 =16 Radicand The value that is inside the radical is called the radicand. In the radical expression , the number 25 is the radicand

9 Curriculum Vocabulary
Rational Exponent A rational exponent is an exponent that is a rational number written as a fraction. EXAMPLE: In the expression π‘₯ , the value is a rational exponent


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