Exponential Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.
2.
FLASHCARD QUESTION
Front
What is the general form of an exponential equation?
Back
The general form of an exponential equation is y = a * b^x, where a is the initial value and b is the base of the exponential.
Tags
CCSS.HSF.LE.A.2
3.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function represents the growth (if b > 1) or decay (if 0 < b < 1) factor of the function.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
How do you identify the y-intercept of an exponential function?
Back
The y-intercept of an exponential function is found by evaluating the function at x = 0, which gives y = a.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
What is the y-intercept of the function y = 3 * 2^x?
Back
The y-intercept is 3, as it is the value of the function when x = 0.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
How do you simplify the expression (3x^4)(5x^3)?
Back
To simplify, multiply the coefficients (3 * 5 = 15) and add the exponents of x (4 + 3 = 7), resulting in 15x^7.
Tags
CCSS.HSA.APR.A.1
7.
FLASHCARD QUESTION
Front
What is the product rule for exponents?
Back
The product rule states that when multiplying two exponential expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).
Tags
CCSS.8.EE.A.1
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