Updated Chapter 1 Flashcards

This is a set of the x-values (1.1)

what is domain?

This is a set of the y-values (1.1)

what is range?

How can we tell if a graph is a function? (1.1)

What is the vertical line test?

Is this a function? (1.1)

Yes- passes vertical line test

Find the domain (vertical ass), setting the bottom to zero (1.1)

• x-3=0

• +3

• All real numbers expect for 3

Find the domain (vertical ass)

• x+5>0

• -5 on both sides

• x>-5

• Domain, interval notation: [-5, infinity]

Find the domain (1,1)

{-5,-3,-1,0,3,5}

Find the range (1.1)

{-7,-2,6,-2,5,-7}

Find the domain (1.1)

You go Left → Right, use [] if its included, use () if its not

[-3,3]

Find the range (1.1)

You go bottom up, [-30,40]

Find the domain (1,1)

(-infinity, 4]

Find the range (1,1)

[0, infinity)

2x³+5x²-28x-15. Find f(-2)

To find f(-2), substitute -2 into the polynomial, resulting in f(-2) = 2(-2)³ + 5(-2)² - 28(-2) - 15.

! Or you just plug original equation into your calculator and you find any value !

This is how you find the x-intercept. (1.3)

You set y=0

This is how you find the y-intercept (1.3)

You set x=0

2x-3y=6: find the y-intercept (1.3)

To find the y-intercept, set x=0 in the equation 2x-3y=6 and solve for y.

• -3y=6

• y=-2

2x-3y=6: find the x-intercept (1.3)

To find the x-intercept, set y=0 in the equation 2x-3y=6 and solve for x.

• 2x=6

• x=3

This is how you find the slope of a line (1.3)

(y2-y1/x2-x1)

Rise/Run

What is the slope (1.3)

Rising left → right (positive slope)

What is the slope (1.3)

Falling left → right (negative slope)

What is the slope (1.3)

The slope will be zero

What is the slope (1.3)

The slope is undefined

y=mx+b, what does the b mean? (1.3)

The y-intercept

y=mx+b, what does the mx mean? (1.3)

mx=slope

What is point-slope form? (1,4)

y-y1=m(x-x1)

Write an equation for the line that passes through the point (-1,5) and has the slope ¾

y-5=3/4(x-(-1))

Slope that are parallel mean

That they are the same

Slopes that are perpendicular mean

The negative reciprocal

Write in slope

0.09-0.07/4-3= 0.02

Is point slope form a linear equation?

Yes, and you can use it if a question asks you to write a linear equation

Find an equation of the line for points (-3,5) and (2,-5)

• 1) do y2-y1/x2-x1

• do point slope form