Chapter 1 (1.2 to 1.9)

Question 1

How do you find x and y intercepts?

Answer 1

X-intercept, plug in 0 for y

Y-intercept, plug in 0 for x

Question 2

How do you find x-axis, y-axis, and origin symmetry?

Answer 2

X-axis, if you plug in -y it will equal y
Y-axis, if you plug in -x it will equal x
Origin, if you plug in -y and -x it will equal y and x

Ex:
X-axis y^2=x
Y-axis y=x^2
Origin y=2x^3

Question 3

What is the circle formula?

Answer 3

(X - H)^2 + (Y - K)^2 = R^2

Center is (H,K)
Radius is R

Question 4

What is the slope-intercept form of a line?

Answer 4

Y=mx+b

M is slope and b is y-intercept

Question 5

What is the distance formula?

Answer 5

–––––––––––––––––––––––

/ (X2 - X1)^2 + (Y2 - Y1)^2

Question 5

What is the intercept form of a line?

Answer 5

X/a + y/b =1

A is x-intercept
B is y-intercept

Question 7

What is the standard form of a line and how would you find slope?

Answer 7

ax + by = c

Slope is -a/b

Question 8

What is the point-slope form of a line?

Answer 8

y - y1 = m(x - x1)
(x1, y1) is a point on a line
M is slope

Question 9

What is the equation of a vertical line and what is its slope?

Answer 9

X = A

Slope is undefined or no slope

Question 10

What is the equation of a horizontal line and what is its slope?

Answer 10

Y = B

Slope is zero

Question 11

What is the slope formula?

Answer 11

Rise Y2 - Y1
–––– or –––––––
Run X2 - X1

Question 12

How would you identify if lines are parallel or perpendicular by their slope?

Answer 12

Parallel lines m=m, slopes are equal

Perpendicular lines m=-1/m, slopes are opposite reciprocals

Question 13

How would you identity if something is a function?

Answer 13

Every x has only one y

Question 14

What is domain and range?

Answer 14

Domain is all possible x

Range is all possible y

Question 15

What is the midpoint formula?

Answer 15

X1 + X2 Y1 + Y2
——— ———
2 , 2

Question 16

What are the restrictions on domain?

Answer 16

Cannot divide by zero and cannot square root negative numbers

Question 17

Is the rate of change formula the same as the slope formula?

Answer 17

Yes

Question 18

How would you identify odd functions?

Answer 18

They have symmetry in the origin

For all x, f(-x) = -f(x)

Question 19

How would you find absolute minimum or absolute maximum on a graphing calculator?

Answer 19

2nd Clac minimum or maximum

Question 20

What is the formula for step functions?

Answer 20

Y = [[x]]
It means the greatest integer contained in x

Ex:
[[.5]] is zero
[[-3.5]] is -4
On graphing calculator MATH, NUM, #5 int(

Question 21

How would you shift an equation up, down, left, or right?

Answer 21

Up            F(x) + c
Down       F(x) - c
Left          F(x + c)
Right        F(x - c)

Question 22

How would you reflect an equation over the x or y axis?

Answer 22

Y-axis is f(-x)

X-axis is -f(x)

Question 23

How would you identify even functions?

Answer 23

Have symmetry in the y-axis

For all x, f(-x) = f(x)

Question 24

How do you find an inverse function?

Answer 24

Switch x and y
Solve for y
Change y to f^-1(x)

Question 25

How do you check an inverse function?

Answer 25

(fog)(x)=(gof)(x)=x

Question 26

How can you check if a function has an inverse with a graph or a table?

Answer 26

If is passes the horizontal line test

One to one (every x has one y and every y has one x)

Question 27

How would you do a sum (f+g), difference (f-g), product (fg), quotient (f/g), or composition function (fog)?

Answer 27

Add, subtract, multiply, divide, or insert into x (f(g(x))

Question 28

What would the integer function of Y=((x)) look like?

Answer 28

Closed on zero, zero open on one, zero