S1 Review

Identifying Linear Functions

Using Intercepts

Slope

Functions

Miscellaneous

100

What is a function whose graph forms a straight line called?

linear function

100

What is a y-intercept?

The point of a function where x = 0;

The point where the function graph crosses the y-axis.

100

What is the slope of a horizontal line?

Zero

100

Name a function family that has a minimum or a maximum point.

absolute value or quadratic

100

Write the linear equation in point slope form: Slope=-7 ; (4,2)

y-2 = -7(x -4)

200

What is the slope-intercept form of a linear function?

y = mx + b

200

Find the y intercept: y = 4x - 2

(0, -2)

200

What is the slope of a vertical line?

Undefined

200

What function family is this: y = 4^x

exponential

200

Write the equation of the line with a slope of 3 and passes through (0 , 4)

y = 3x + 4

y - 4 = 3(x - 0)

300

What type of slopes do linear functions have?

The slopes of linear functions are constant. Only linear functions have constant slopes.

300

Find the y intercept of 3x+4y=24

(0, 6)

300

Find the slope of the equation y = -x + 4

m = -1

300

Is this a function?

{(0,1) , (3, 5), (0, 4) , (5, 9)}

No - 0 maps to two different values.

300

Write an explicit formula for this sequence: 1, 3, 9, 27, ...

g_n = 1*3^n-1

400

Does the table below represent a linear function?

x | y

2 | 4

5 | 3

14 | 0

Yes, constant slope of -1/3

400

Find the x intercept of 3x+4y=24

(8, 0)

400

Find the slope of (20, 3000) and (60, 2000)

What is -25

400

Is this a function?

x | y

-2 | 4

-1 | 5

2 | 9

4 | 5

Yes - every input maps to only 1 output

400

Convert this point-slope equation into slope-intercept form:

y - 4 = 12(x + 2)

Slope intercept: y=12x + 28

500

what two key pieces of information are needed to write the equation of the linear function?

The slope and the y-intercept.

500

Find the y-intercept:

y - 2 = 4( x - 5)

(0, -18)

500

What is the slope of this line: y - 4 = 7(x - 5)

500

What is the name of the test to see if a graph is a function or not?

Vertical Line Test

500

Write an explicit formula for this sequence: 2, 8, 14, 20...

a_n = 2 + 6(n - 1)