WHS PAP/TAG A2 Assignment Week 1 Functions & their Features

Transformations applied to an Absolute Value function will ______________ affect the domain.

• Always

• Sometimes

• Never

Which of the following are true statements? Check all that apply?

• The range of polynomial functions depends only on end behavior.

• Polynomials Functions can never have 1 imaginary root.

• Sometimes the degree of a polynomial will not match the number of roots it has.

• Regardless of degree, all polynomials share the same domain.

Given the following table of quadratic data, determine the value of a.

Which of the following is not an accurate critical feature of the parabola  $f\left(x\right)=-2x^2-4x+30$  ?

• The vertex is (-1,32)

• Range:  $\left\{y:y\le32\right\}$  

• The interval on which is it decreasing is  $\left(-1,\infty\right)$  

• The roots of the function are 5 and -3.

Tags

CCSS.HSF-IF.C.7A

Given the table of data, determine the equation for the exponential function. Use the ^ for an exponent and put () around your b value.

Tags

CCSS.HSF.LE.A.2

The following transformation(s) can affect the domain of a logarithmic function f(x). Check all that apply.

• f(-x)

• -f(x)

• f(x)+c

• f(x-c)

• f(cx)

True or False: Rational Functions will always have a Vertical Asymptote.

Tags

CCSS.HSF-IF.C.7D

A ______________________ can represent the end behavior of a rational function. Check all that apply.

• Horizontal Asymptote

• Vertical Asymptote

• Removable Discontinuity

• Slant Asymptote

• Cubic Asymptote

Tags

CCSS.HSF-IF.C.7D

 $f\left(x\right)=\log\left(x^3-x^2-4x+4\right)$  

Given f(x), determine the domain.

•  $\left(-\infty,2\right)\cup\left(1,2\right)$  

•  $\left(-2,1\right)$  

•  $\left(-2,1\right)\cup\left(2,\infty\right)$  

•  $\left(2,\infty\right)$  

 $f\left(x\right)=\frac{x^2-3x-10}{x^2+5x+6}$  

Which of the following is not a critical feature of the rational function f(x)?

• x-int (5,0)

• Hole (2,-7)

• VA:  x = -3

• HA: y = 1

Tags

CCSS.HSF-IF.C.7D