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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
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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: π°=πππ (for interest only) π· π = π· π β π+ππ (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: π· π = π· π β π+π π
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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 π(π₯)=π₯ The basic exponential function is π π₯ = 2 π₯ The basic quadratic function is β π₯ = π₯ 2
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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.
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Curriculum Vocabulary
Coordinate Notation Coordinate notation is a notation that uses ordered pairs to describe a transformation on a coordinate plane. EXAMPLE: π₯,π¦ π₯+π,π¦+π Argument of a Function The argument of a function is the variable on which the function operates. In the function π π₯+5 =7, the argument is π₯+5
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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.
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Curriculum Vocabulary
Cube Root A number π is a cube root of a number π if π 3 =π. 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
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Curriculum Vocabulary
nth Root If π represents a positive number, then a number π is the πth root of π if π π =π. 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
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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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