Functions 1.1-1.3

Question 1

How many outputs can a function give to be classified a function?

Answer 1

Only 1

Question 2

The two domain rules?

Answer 2

Can’t have a 0 in fraction, and can’t have a negative in an even root

Question 3

What is the quadratic formula?

Answer 3

(-b+-sqrt b^2-4ac)divided(2a)

Question 4

What is the way to find a vertex between 2 zeros?

Answer 4

Find the midpoint value (x) and then plug the value into your function to find f(x)

Question 5

Midpoint formula (when you have no zeroes?)

Answer 5

-(b)/2a

Question 6

What does sqrt x look like as a function?

Answer 6

Like the top left corner of a square in the first quadrant

Question 7

What does 1/x look like as a function

Answer 7

A 90° angle that looks like an L that has asymptotes for the Y and X axis

Question 8

What does 1/x^2 look like as a function?

Answer 8

A 90degree angle with asymptotes for both axis that reflects over the y-axis. 

Question 9

What does e^x look like?

Answer 9

A slope upwards with asymptote at the x axis and a y intercept at 1

Question 10

What does lnx look like?

Answer 10

A slope like the top left corner of a square that starts in quadrant 4 and passes through 1 on the x axis with an asymptote for the y-axis.

Question 11

Definition of even function

Answer 11

f(-x)= f(x)

Question 12

Definition of an odd function

Answer 12

f(-x)=-f(x)

Question 13

Definition of abs value function

Answer 13

Junk if junk is > or = 0
-(Junk) if junk is < 0

Question 14

Make sure you know the trig functions look, domain and range.

Answer 14

Do you?

Question 15

Definition of polynomial?

Answer 15

Did you write it down?

Question 16

Does sqrt of (a + b) = (sqrtA)+ (sqrtB)?

Answer 16

No!!! This only works with multiplication or division under a radical.

Question 17

Vertex form equation

Answer 17

y=a(x-h)^2 +k (h,k) is the vertex point.

Question 18

When the leading degree is odd what is the end behavior?

Answer 18

Positively opposite diagonally.

Question 19

When the leading degree is even what is the end behavior?

Answer 19

Reflect across y-axis think like U|U

Question 20

g(x)=f(x)+-k means what?

Answer 20

g(x) is f(x) shifted up or down k units.

Question 21

g(x)= f(x+-k) means what?

Answer 21

g(x) is f(x) shifted left or right k units.

Question 22

g(x)=-f(x) means what?

Answer 22

g(x) is f(x) reflected across the x axis.

Question 23

g(x)=f(-x) means what?

Answer 23

g(x) is f(x) reflected across the y axis.

Question 24

g(x)=kf(x) means what?

Answer 24

It means that g(x) is f(x) vertically stretched or shrinked by a factor of k. If k is between 0 and 1, the graph shrinks. If it is greater than 1 it stretches.

Question 25

g(x)=f(kx) means what?

Answer 25

It means that g(x) is f(x) stretched or shrinked horizontally by a factor of k. If k is between 0 and 1 it shrinks. If it is greater than 1 it is stretched.

Question 26

Formula to find slope In standard form?

Answer 26

(-A/B)

Question 27

Domains of functions that are combined are found how?

Answer 27

By finding where domains interlap. NOT the Endpoints of both domains.