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- Common Core MathK - 8High School

# Functions: Linear, Quadratic, and Exponential Models

550 questions30 skills

# Functions: Linear, Quadratic, and Exponential Models

550 questions30 skills

## HSF-LE.A.1

80 questions4 skills

Distinguish between situations that can be modeled with linear functions and with exponential functions.

Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Skills for this standard are coming soon.

## HSF-LE.A.1b

80 questions4 skills

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

## HSF-LE.A.1c

96 questions5 skills

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

## HSF-LE.A.2

327 questions18 skills

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Point-slope form

Exponential functions from tables & graphs

Recursive formulas for arithmetic sequences

Writing linear equations word problems

Writing functions with exponential decay

Slope-intercept from two points

Horizontal & vertical lines

Recursive formulas for geometric sequences

Slope from graph

Explicit formulas for geometric sequences

Linear models word problems

Slope-intercept equation from graph

Sequences word problems

Linear equations in any form

Exponential expressions word problems (algebraic)

Explicit formulas for arithmetic sequences

Construct exponential models

Linear vs. exponential growth: from data

## HSF-LE.A.3

13 questions1 skill

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

## HSF-LE.A.4

24 questions1 skill

For exponential models, express as a logarithm the solution to

*ab**=*^{ct}*d*where*a*,*c*, and*d*are numbers and the base*b*is 2, 10, or*e*; evaluate the logarithm using technology.## HSF-LE.B.5

150 questions8 skills

Interpret the parameters in a linear or exponential function in terms of a context.

Linear equations word problems

Comparing linear functions word problems

Linear models word problems

Interpret time in exponential models

Interpret change in exponential models: changing units

Interpret change in exponential models: with manipulation

Interpret change in exponential models

Interpret exponential expressions word problems