Pre-Calc Unit 4 Test Review

Vertex

(h,k)

+a = …. , -a = …

+a = up, -a = down

a = slope

rise/run

Inside(…)

x-coordinates change, do opposite

Outside(…)

y-coordinates change

y = -f(x)

reflection across the x-axis, y-values change/flip sign

y = f(-x)

reflection across the y-axis, x-values change/flip signs

y = a * f(x)

vertical stretch or compression

y = f(bx)

horizontal stretch or compression (USE RECIPROCAL)

What is the domain and range if an exponent is odd?

all real numbers (-inf,+inf)

What is the domain and range if exponent is even?

only domain is all real numbers (-inf,+inf)

What is the symmetry and end behaviors for an odd exponent/function?

opposite end behaviors and origin symmetry

What is the symmetry and end behaviors for an even exponent/function?

equal end behaviors and y-axis symmetry

Identify what “k” and “a” are in the following formula: k * x^a

k is the constant of variation, and a is the power

When rewriting a square root into a power, where does the INDEX go and where does the RADICAND’S exponent go?

number on index (outside/on top of the perch) goes in the denominator and the number above the radicand (what the inside number is being taken power to) goes in the numerator

What cannot be a power function?

x (e.g. 3^x power is not a power function!)

f(x) = k * x

direct variation

f(x) = k/x

inverse variation

varies, is

=

k is always on ____.

top

x³

x²

1/x

squareroot x

x^-2

\sqrt[3]{x}

x^-4

x^8

x^7