Remediation 3.3 CFA

Presentation

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Mathematics

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11th Grade

•

Easy

•

CCSS

HSF.IF.A.1, HSF.IF.B.4, HSF.IF.C.7

+12

Standards-aligned

Amanda Wood

Used 4+ times

FREE Resource

10 Slides • 22 Questions

Vocabulary

Asymptote: A line that a function approaches
Domain: The set of all x-values. (Look left and right)
Range: The set of all y-values (Look down and up)

The parent graph, log₂(x)

The transformed graph,

log₂(x+3)

Which way did the graph move? Where is the asymptote?

what is the h-value for the red graph?

The asymptote, h

Multiple Choice

Logarithmic functions are the inverse of...

Linear Functions

Exponential Functions

Quadratic Functions

Polynomial Functions

Multiple Choice

Logarithmic functions have a restricted _____________.

domain

range

Multiple Choice

Exponential functions have a restricted ______________.

domain

range

Multiple Choice

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

Multiple Choice

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

Multiple Choice

What is the domain?

$\left(-\infty,\infty\right)$

$\left(0,\infty\right)$

$\left(-\infty,0\right)$

Multiple Choice

What is the domain?

(-∞, ∞)

(0, ∞)

[1, ∞)

(1, ∞)

Multiple Choice

What is the range of the function?

$\left(0,\ \infty\right)$

$\left(-\infty,0\right)$

all real numbers

Multiple Choice

What is the range of log(x)?

(-2, 4)

(-∞, ∞)

(-∞, 0)

Cucumber

Multiple Choice

What is the range of $y=\log_3\left(x-3\right)-2$

$\left(-\infty,\infty\right)$

$\left(2,\infty\right)$

$\left(-2,\infty\right)$

$\left(-\infty,2\right)$

Multiple Choice

What is the asymptote for the equation $y=2^{x+5}-7$ ?

y = -7

y = 7

y = 5

x = 2

Multiple Choice

A given exponential function has an asymptote at y=12. What must be the asymptote of the inverse?

$y=\frac{1}{12}$

$x=12$

$x=-12$

$y=-12$

Multiple Choice

A given logarithmic function has an asymptote at x=5. What must be the asymptote of the inverse?

$x=\frac{1}{5}$

$y=\frac{1}{5}$

$x=5$

$y=5$

Multiple Choice

Identify the asymptote of the transformed graph $\log_2\left(x+3\right)$ shown in red in the graph

$x=-3$

$x=3$

$y=3$

$y=-3$

We will focus on what a, h, and k do to affect the parent function

Transformations of Logs

Exponential Transformations

Multiple Choice

What are the transformations of this graph?

Right 1 Up 5

Right 1 Down 5

Left 1 Up 5

Left 1 Down 5

Match

Match the following log functions to their horizontal shift (which way will the asymptote shift)

$\ln\left(x\right)$

$\ln\left(x-4\right)$

$\ln\left(x+5\right)$

No Horizontal Shift

Shift Right

Shift Left

Multiple Choice

Which of the equations could best describe the graph?

$\log_2\left(x+1\right)$

$\log_2\left(x-1\right)$

$\log_2\left(x\right)+1$

$\log_2\left(x\right)-1$

Multiple Choice

Which graph matches this equation?

Multiple Choice

Which equation matches this graph?

Multiple Choice

Select the correct graph shape for the equation

$y=-2\log\left(x+3\right)-1$

Multiple Choice

Select the correct graph shape for the equation

$y=-2\cdot10^{\left(x+3\right)}-1$

Multiple Choice

What is domain of this function?

$\left(-\infty,\infty\right)$

$\left(0,\ \infty\right)$

Vocabulary

Asymptote: A line that a function approaches
Domain: The set of all x-values. (Look left and right)
Range: The set of all y-values (Look down and up)

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