Math 1241 - Test 1 Review

Front 1

Point Slope Form

Back 1

y-y1=m(x-x1)

Front 2

Slope Intercept Form

Back 2

y=mx+b

Front 3

Parallel Lines have the same _____________.

Back 3

Slope

Front 4

Perpendicular lines have a slope that is the ___________________________.

Back 4

Negative Reciprocal

Front 5

Negative Reciprocal means _______________.

Back 5

You flip the fraction and change the sign.

Front 6

To find a vertical asymptote you _____________.

Back 6

Set the denominator to zero.

Front 7

What is the horizonatal asymptote therome?

Back 7

1. If the degree of the numerator is less than the degree of the denominator (known as "bottom heavy"), y = 0.

2. If the degree of the numerator equals the degree of the denominator ("Equal Degree"), y is the ratio of the leading degree coefficent.

3. If the degree of the numerator is greater than the degree of the denominator ("Top Heavy") there is no horizontal asymptote.

Front 8

Transformations : f(x)+C does what to the graph?

Back 8

It moves the graph up C units

Front 9

Transformations: f(x)-C does what to the graph?

Back 9

It moves the graph down C units

Front 10

Transformations: f(x-C) does what to the graph?

Back 10

It moves the graph right C units

Front 11

Transformations: f(x+C) does what to the graph?

Back 11

It moves the graph left C units

Front 12

Transformations: -f(X) does what to the graph?

Back 12

It flips the graph about the x axis

Front 13

Transformations: f (-x) does what to the graph?

Back 13

It flips the graph about the y axis

Front 14

Transformations: C*f(x) (if c is greater than 1) does what to the graph?

Back 14

It stretches the graph vertically by a factor of C

Front 15

Transformations: C*f(x) (if C is less than 1 but greater than 0) does what to the graph?

Back 15

It shrinks the graph vertically by a factor of C

Front 16

Vertical means ________________.

Back 16

Up and Down

Front 17

Horizontal means _______________.

Back 17

Left and Right

Front 18

Even functions have all ______________ exponents.

Back 18

Even

Front 19

Odd functions have all _____________ exponents.

Back 19

Odd

Front 20

Functions that are neither odd or even have a __________ of odd and even exponents.

Back 20

Mix

Front 21

Sin is a ____________ function.

Back 21

Odd

Front 22

Cos is a ___________ function.

Back 22

Even

Front 23

This graph is what kind of function?

Back 23

Absolute Value

Front 24

Domain is the ______________ of a function.

Back 24

X values

Front 25

Range is the ______________ of a function.

Back 25

Y values

Front 26

For a limit to exsist, it must be __________ from the left and right.

Back 26

Equal

Front 27

A function is continuious at a number A if:

Back 27

1. f(A) exsists

2. The limit of f(x) as a x approaches A exsists

3. The limit of f(x) as x approaches A equals f(A)

Front 28

What kind of discontinuity is this?

Back 28

Removable

Front 29

What kind of discontinuity is this?

Back 29

Jump

Front 30

What kind of discontinuity is this?

Back 30

Infinite

Front 31

What kind of discontinuity is this?

Back 31

Removable

Front 32

A step function is ______________ at every value.

Back 32

Discontinuious

Front 33

A function f is continuous from the Right at a number A if:

Back 33

The limit f(x) as x approaches A from the right is equal to f(A)

Front 34

A function f is continuous from the Left at a number A if:

Back 34

The limit f(x) as x approaches A from the left is equal to f(A)

Front 35

A jump discontinuity would have _____________ limits from the left and the right.

Back 35

Different

Front 36

A polynomial function is continuious _____________.

Back 36

Everywhere

Front 37

A rational function is continuous ________________.

Back 37

Everywhere it is defined.

Front 38

A number/0 will always give you _____________, ____________, or _________.

Back 38

DNE

-Infinity

Infinity

Front 39

When evaluating a limit as x approaches infinity: If the degree of the numerator equals the degree of the denominator, the limit will always be ___________.

Back 39

A ratio of those (the highest) degrees

Front 40

When evaluating a limit as x approaches infinity: If the degree of the numerator is larger than the degree of the denominator, the limit will always be ___________.

Back 40

+ or - Infinity

*Let x be a big number to figure out if it is positive or negative

Front 41

When evaluating a limit as x approaches infinity: If the degree of the numerator is smaller than the degree of the denominator, the limit will always be ___________.

Back 41

Zero