Fill In The Blank Review

Without a shift, log graphs always go through the point (_,_).

( 1 , 0 )

Without a shift, exponential growth and decay graphs always go through the point (__,__)

( o , 1 )

When completing the square, the blanks or what goes into the blanks is always _____.

+ (positive)

If you can't solve a quadratic equation by factoring, what are some other ways to solve it.

1.) complete the square 2.) quadratic formula 3.) calculator (if whole number zeros)

How do you find the inverse of a function?

1.) switch X & Y 2.) solve for Y

A line that a graph approaches but never touches or crosses is an _____.

Asymptote

When you square a ______, you get a ______.

Binomial Trinomial

On each EOI test question ask yourself, " Will my _____ help me with this problem?"

Calculator

How do you tell how many zeros an equation has just by looking at it?

Degree (highest exponent)

To find the domain or vertical asymptote, you set the __________ equal to __.

Denominator 0 (zero)

The index is equal to the ________ of the rational exponent.

DenominatorDenominator

Arithmetic sequences have a common _______.

Difference

How do you decide about the other end?

Even Exponent- Same Odd Exponent- Different or Opposite

In log form, the part all by itself, turns into the ______.

Exponent.

When finding the LCD, you ____ the ________ if possible.

Factor Denominator

Two times you have to be careful about domain is when there is a _______ or a ________. If there is a _______, you don't want to get a ___ in the _________. If there is a _______, you don't want a ________ _______ under it.

Fraction Radical Fraction 0 (zero) Denominator Radical Negative Number

When factoring, you always look for a ___ first.

GCF

___ is always inside ___.

H ( )

Exponential growth and decay graphs always have_______ asymptotes.

Horizontal

If the Y coordinates are the same, the graph is ______.

Horizontal

In the equation, k is the _______ ______.

Horizontal Asymptote

+h shifts the graph ____, -h shifts the graph ____. +k shifts the graph ___, -k shifts the graph ____.

Left Rt. Up Down

On a graph(picture), the DOMAIN is the ____ and _____. The RANGE is the ___ and _____.

Left and Right. Up and Down.

Does an X-Cubed degree equation have to touch the x-axis 3 times? Why or why not?

No, some might be imaginary.

To find out how many x-intercepts, you set the _______ equal to __.

Numerator 0 (zero)

You can check your answer to an equation question on the EOI test by:

Plugging back into the equation

An inverse is NOT a function if it has a _______ in it, because a _______ line would touch it ______.

Radical Vertical Twice

Geometric sequences have a common _____.

Ratio

If a is negative, then the graph is _____.

Reflected (flipped)

Give two other names for answers or solutions. ______ and _______.

Roots & Zeros

Which end do you decide about 1st on end behavior? ____ How do you decide up or down?

Rt. 1st sign: +up, -down

Show the ( ) and signs for factoring as the sum and difference of two cubes.

Sum: ( + )( - + ) Difference: ( - )( + + )

If the X coordinates are the same, the graph is ______.

Vertical

log graphs always have ______ asymptotes.

Vertical

Inverse graphs are symmetric about the line _____.

Y=X

The parent graph of a quadratic equation (parabola) is always ___________.

Y=X2

If __ > 1, then the graph goes ___ to the ___. If 0 < __ < 1, then the graph goes ____ to the __.

b Up Rt. b Down Rt.

The equation is exponential growth if __________. The equation is exponential decay if ___________.

b > 1 0 < b < 1

b = the distance from the _____ to the _____.

center to the co-vertex

c = the distance from the _____ to the _____.

center to the focus.

a = the distance from the _____ to the _____.

center to the vertex.

(FoG)(X)=

f(g(x))

LOGe=

ln (natural log)

In the equation, the vertical asymptote is the _____ of __.

opposite of H.

Instead of solving, another option of answering an equation question to the EOI test, is:

plugging your choices into the equation.

The domain is ____________ _______________.

what you can plug in for X.

If there is no ( ), the VERTICAL asymptote is the line ____ or the __-axis.

x=0 Y

Write the equation for y varies inversely with x.

y= k/x

Write the equation for y varies DIRECTLY with x.

y=kx