1. Functions

1.01 Review: Relations and functions

1.02 Function families and transformations

1.03 Choosing appropriate models

1.04 Domain and range and continuity

1.05 Characteristics from a graph

1.06 Average rates of change

1.07 Comparing function types

1.08 Solutions from a graph

1.09 Operations with functions

1.10 Inverse relations and functions

United States of America TX

Algebra 2

1.02 Function families and transformations

Interactive practice questions

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Move the graph up by $4$4 units.

A

Move the graph down by $4$4 units.

B

Easy

< 1min

How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?

Easy

< 1min

Consider the equation $y=4x$y=4x.

Easy

< 1min

The function $y=-5x^2$y=−5x2 has what dilation factor?

Easy

< 1min

Outcomes

A2.2.A

Graph the functions f(x)=âˆšx, f(x)=1/x, f(x)=x^3, f(x)= 3âˆšx, f(x)=b^x, f(x)=|x|, and f(x)=log_b (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

A2.4.C

Determine the effect on the graph of f(x) = âˆšx when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d

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