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AB PrecCalc Log Graphs/Exp Graphs

AB PrecCalc Log Graphs/Exp Graphs

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5, HSF-IF.C.7E, HSF-BF.B.4A

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

y = a * b^x, where a is a constant, b is the base, and x is the exponent.

2.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number. For example, in log_b(x), b is the base.

Tags

CCSS.HSF.BF.B.5

3.

FLASHCARD QUESTION

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions are the inverse of logarithmic functions. If y = b^x, then x = log_b(y).

Tags

CCSS.HSF.BF.B.5

4.

FLASHCARD QUESTION

Front

What is the domain of the function f(x) = log_b(x)?

Back

The domain is (0, ∞) because logarithms are only defined for positive real numbers.

5.

FLASHCARD QUESTION

Front

What is the range of the function f(x) = log_b(x)?

Back

The range is (-∞, ∞) because logarithmic functions can take any real value.

6.

FLASHCARD QUESTION

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y variables and solve for y.

Tags

CCSS.HSF-BF.B.4A

7.

FLASHCARD QUESTION

Front

What is the effect of a vertical shift on the graph of an exponential function?

Back

A vertical shift moves the graph up or down without changing its shape. For example, y = 2^x + 3 shifts the graph of y = 2^x up by 3 units.

Tags

CCSS.HSF-IF.C.7E

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