# precalculus regents review Flashcards

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Leading Coefficient

Degree

Zero Function

Constant Function

The number in front of the X of the highest degree ... (ex.) (4)x…

The highest exponent in a polynomial determining the number of…

A polynomial with no degree and a slop of zero... {f(x)= 0 }

A polynomial with a constant and no degree ... {f(x)= a}

Leading Coefficient

The number in front of the X of the highest degree ... (ex.) (4)x…

Degree

The highest exponent in a polynomial determining the number of…

Not a Function

as x→∞, f(x)→-∞, ... as x→-∞, f(x)→∞

(-∞, -4)U[10, ∞)

(-1.45, -6.76)

Function or Not?

Describe the end behavior of g(x) = -4x³-5x+1

Describe the set of numbers below using interval notation:... x <…

Determine the relative minimum point of the following function…

Not a Function

Function or Not?

as x→∞, f(x)→-∞, ... as x→-∞, f(x)→∞

Describe the end behavior of g(x) = -4x³-5x+1

Rational Number

Irrational Number

Quadratic Formula

Factoring Cubes

-any number that is a real number that can be written ass a te…

-real number that cannot be written as a terminating or repeat…

-b±[√b²-4ac]/2a

a^3+b^3=(a+b) (a^2-ab+b^2)... -if it is A^3-B^3 then change to (a…

Rational Number

-any number that is a real number that can be written ass a te…

Irrational Number

-real number that cannot be written as a terminating or repeat…

A hyperbola with a positive y term opens

A hyperbola with a positive x term opens

The y value of the vertex of an upwards…

The x value of the vertex of a sideways…

Up

Sideways

The square root of b

The square root of a

A hyperbola with a positive y term opens

Up

A hyperbola with a positive x term opens

Sideways

amp=2... per=4π... PS=2π

amp=2... per=π... PS=π

amp=2... per=π... PS=1

f(x)=cos 4x

Find the amplitude, period, and phase shift of: ... f(x) = 2sin ½…

Find the amplitude, period, and phase shift of: ... f(x) = -2cos(…

Find the amplitude, period, and phase shift of: ... f(x) = -2sin(…

What is the equation of the graph?

amp=2... per=4π... PS=2π

Find the amplitude, period, and phase shift of: ... f(x) = 2sin ½…

amp=2... per=π... PS=π

Find the amplitude, period, and phase shift of: ... f(x) = -2cos(…

Solve an inequality with 2 variables (y…

Solve inequality with 1 variable (f(x)>…

Point-Slope Form

Standard Form

Dotted line if not equal to and shaded region

Sign pattern (Don't divide by variable when simplifying)

y-y1=m(x-x1)

Ax+By=C

Solve an inequality with 2 variables (y…

Dotted line if not equal to and shaded region

Solve inequality with 1 variable (f(x)>…

Sign pattern (Don't divide by variable when simplifying)

The Age of Absolutism (1600s- 1700s)

Divine right

Peter the Great

Louis XIV

the period in European history when nations were governed by a…

The idea that kings received their power to rule directly from…

Absolute monarch of Russia and westernized Russia

Absolute monarch of France

The Age of Absolutism (1600s- 1700s)

the period in European history when nations were governed by a…

Divine right

The idea that kings received their power to rule directly from…

Find a function where y is a function o…

Find an equation of a line perpendicula…

tan

cot

1. Get y all by itself... 2. See if you can tell there's going t…

Convert equation to slope intercpt form... Perpendicular lines h…

sin/cos

cos/sin

Find a function where y is a function o…

1. Get y all by itself... 2. See if you can tell there's going t…

Find an equation of a line perpendicula…

Convert equation to slope intercpt form... Perpendicular lines h…

Angle of elevation

Angle of depression

Bearing

Pythagorean theorem

Angle from the horizontal upward.

Angle from the horizontal downward.

Measures the acute angle that a path of sight makes with a fix…

a²+b²=c²

Angle of elevation

Angle from the horizontal upward.

Angle of depression

Angle from the horizontal downward.

1. The same objects have the

2. The closer isolines are...

3. The altitude of Polaris equals...

4. The Earth rotates

same density (NO MATTER WHAT SIZE)

the steeper the gradient... (diagram: North side is steepest)

the latitude of the observer... Diagram: Observer's altitude = 66…

West to east... 15 degrees per hour... in 24 hours or one day

1. The same objects have the

same density (NO MATTER WHAT SIZE)

2. The closer isolines are...

the steeper the gradient... (diagram: North side is steepest)

Homeostasis

Metabolism

Organic Molecules

Organelle

The ability of an organism to maintain internal stability

the sum of all the chemical reactions that occur within the ce…

Contain both Carbon and Hydrogen

small parts that make up a cell (each has at least one specifi…

Homeostasis

The ability of an organism to maintain internal stability

Metabolism

the sum of all the chemical reactions that occur within the ce…

Leading Coefficient

Degree

Zero Function

Constant Function

The number in front of the X of the highest degree ... (ex.) (4)x…

The highest exponent in a polynomial determining the number of…

A polynomial with no degree and a slop of zero... {f(x)= 0 }

A polynomial with a constant and no degree ... {f(x)= a}

Leading Coefficient

The number in front of the X of the highest degree ... (ex.) (4)x…

Degree

The highest exponent in a polynomial determining the number of…

Midline

Amplitude

Period

sin(θ)

The average value (in the context of sinusoidal functions).

The distance that the graph of a sinusoidal function deviates…

The shortest distance along the horizontal axis over which the…

The vertical coordinate of the point of intersection of the un…

Midline

The average value (in the context of sinusoidal functions).

Amplitude

The distance that the graph of a sinusoidal function deviates…

Law of Sines used with

Law of Sines formula

height formula

Sin: SSA ambiguous cases- given angle i…

AAS, ASA, or SSA situations

a/sinA = b/sinB = c/sinC

h= adj • sin(angle)

opp< adj = no triangle... opp> adj = 1 triangle

Law of Sines used with

AAS, ASA, or SSA situations

Law of Sines formula

a/sinA = b/sinB = c/sinC