April 17 & 18

Algebra 1 - April 17 & 18

Multiple Choice

the set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Multiple Choice

the set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Multiple Choice

What is the domain in inequality notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• -2 ≤ x ≤ 2

• 4 ≥ y ≥ -4

Multiple Choice

What is the domain of this parabola?

• All real #'s

• y > 4

• y < 4

• 3 < y < 7

Multiple Choice

What is the range of this parabola?

• All real #'s

• y > 4

• y < 4

• 3 < y < 7

Point Slope Form

Slope is 5 and the Point is (3,7)

​Write the equation

​Write the equation

Multiple Choice

TABLE TALK

m= 5

(2, 4)

• y - 2= 5(x - 4)

• y - 4= 5(x - 2)

• y- 5 = 4(x - 2)

• y - 2 = 4(x - 5)

Multiple Choice

TABLE TALK

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

Slope is opposite reciprocal.
Flip the number and Change the sign

​Perpendicular

Slope stays the same
Different y-intercept

Parallel

Parallel & Perpendicular

WHITE BOARD
Take the different slopes and write the perpendicular one

​-3

5

Multiple Choice

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

• y = 5x - 2

• y = -2x + 7

• y = 5(x - 2)

• y = -1/5x - 2

Multiple Choice

TABLE TALK

Which two equations below are parallel?

• y = 2x + 1 and y = -1/2x + 1

• y = 2x + 3 and y = -2x + 3

• y = 2x - 1 and y = 1/2x - 1

• y = -x + 4 and y = -x + 2

Multiple Choice

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

• y = (-1/3)x - 1
• y = (1/3)x - 2
• y = -3x + 12
• y = 3x - 1

Multiple Choice

TABLE TALK

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)

• y = 3x - 2
• y = -1/3x - 5
• y = 3x - 4
• y = -1/3x - 3

Graphing Linear Functions

Graph it
Change it to a table
Use the points.

​Desmos

YOU NEED 2 POINTS

Graphing

Graph the line that represents the equation

$$y=\frac{4}{3}x-3$$

Graphing

TABLE TALK

Graph the line that represents the equation

$$y=-\frac{1}{4}x+1$$

Y-intercept

X-Intercept

Graphing in Standard Form
Ax+By=C

Or

Add/Subtract X
Divide by Y
Graph it on Desmos
Turn it into a table
Use the points

Graphing

Graph the line that represents the equation

4x-3y=12

Graphing

TABLE TALK

Graph the line that represents the equation

-2x+4y=8

​Graphing Quadratic Functions

JUST USE DESMOS
Either Turn it into a table and use two of the points
Or
Find the Vertex & Find any other point.
Suggest you use the y-intercept or an x-intercept.
Graph them.

Graphing

Graph the parabola that represents

$$f\left(x\right)=x^2-6x+6$$

Graphing

TABLE TALK

Graph the parabola that represents

$$f\left(x\right)=-3\left(x+2\right)^2+3$$

Exponential Functions

JUST USE DESMOS
Turn it into a table
Use two of the points

Then you must move the asymptote

Graphing

Graph the exponential curve that represents

$$f\left(x\right)=3\left(\frac{3}{4}\right)^x$$

Graphing

TABLE TALK

Graph the exponential curve that represents
$$f\left(x\right)=2\left(2\right)^x$$