How do you evaluate $$g(f(-1))$$ if $$f(x) = 2x$$ and $$g(x) = 2x^2 - 1$$ ?

First, find $$f(-1) = 2(-1) = -2$$ . Then, substitute into $$g(x)$$ : $$g(-2) = 2(-2)^2 - 1 = 8 - 1 = 7$$ .

What is the graph of a logarithmic function like?

The graph of a logarithmic function increases slowly and approaches the y-axis but never touches it (asymptote at x=0). It passes through the point (1,0).

What is the difference between linear and exponential growth?

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage of the current value.

What is the inverse of $$y = 2^x$$ ?

The inverse is $$x = \text{log}_2(y)$$ .

What does $$y = \text{log}_2(x)$$ represent?

It represents the logarithm of $$x$$ to the base 2, indicating the power to which 2 must be raised to obtain $$x$$ .

What is the value of $$\text{log}_2(8)$$ ?

The value is 3, because $$2^3 = 8$$ .

What is the significance of the base in logarithmic functions?

The base determines the rate of growth of the logarithmic function. Different bases will yield different shapes of the graph.

Unit 5 Review

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF.BF.B.5, HSF-IF.C.7E, HSF-BF.A.1C

Standards-aligned

Wayground Content

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FLASHCARD QUESTION

Front

What is a logarithmic function?

Back

FLASHCARD QUESTION

Front

What is an exponential function?

Back

FLASHCARD QUESTION

Front

What is the relationship between exponential and logarithmic functions?

Back

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