Math 4 Unit 2 Review

Presentation

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Mathematics

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10th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSF-IF.C.7B, HSF-BF.A.1C, HSA.CED.A.2

Standards-aligned

Jessica Picard

Used 14+ times

FREE Resource

4 Slides • 11 Questions

Math 4 Unit 2 Review

Piecewise, composition, and regessions

Piecewise functions

Look at how many parts your piecewise function has
Identify the parent function for each part
Look for where (on the x-axis) graphs change

Multiple Choice

Match the graph with the correct equation.

Multiple Choice

How many pieces is this Piecewise Function composed of?

Multiple Choice

What are the domain restrictions for the green piece of this function?

-2 < x ≤ 1

-1 < x ≤ 0.5

x > -2

x ≤ 1

Multiple Choice

Which piecewise function corresponds to this graph? (Take your time)

f(x) = { x if x < 4; -x+1 if x ≥ 4

f(x) = { x if x ≤ 4; -x+1 if x > 4

f(x) = { -x+1 if x < 4; x if x ≥ 4

f(x) = { -x+1 if x ≤ 4; x if x > 4

Multiple Choice

On the graph, which portion of the piecewise function is represented in red?

0.5x + 2.5

-1

0.5x + 2

Composition

Substitute one function for every x in the other function
If finding at a value, substitute the number into the inside function first
Using tables and graphs for composition at a value

Multiple Choice

None of the Above

Multiple Choice

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

10x²

18x² + 4

6x² + 4

Multiple Choice

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

-9

-11

None of these

Regression Models

Compare the r^2 values to help determine the best fit. The closer to 1, the better
Compare residual plots to help. There should be no pattern.
Remember in desmos to use the ~ instead of equals and include subscripts on x and y

Multiple Choice

Linear

Quadratic

Exponential

Square Root

Multiple Choice

Write the equation for the linear regression shown.

$y=ax+b$

$y=0.6x+0.1$

$y=0.72x+r$

$y=0.1x+0.6$

Multiple Choice

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

Math 4 Unit 2 Review

Piecewise, composition, and regessions

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