Functions

Recognize Functions

100

Determine whether the relation is a function

{(1,4),(2,3),(3,5),(-1,3),(0,6)}

Yes or No

Yes

200

Determine whether the relation is a function

{(-1,3),(4,2),(3,1),(2,6),(3,5)}

Yes or No

No

300

Determine whether the equation represent a function

y = x

Yes or No

Yes

400

Determine whether the equation represent a function

y = x² - 4

Yes or No

Yes

500

Determine whether the relation represent a function

y = 1/x

Yes or No

Yes

Solutions to Equations

100

Is the following ordered pair (2, -1) a solution to the given equation: y = 2x - 5

Yes or No

Yes

200

Is the following ordered pair (5, -1) a solution to the given equation: y = -3x + 14

Yes or No

Yes

300

Is the following ordered pair (0, 4) a solution to the given equation: 3x - 4y = 12

Yes or No

No

400

Is the following ordered pair (-4, 0) a solution to the given equation: y = |x| + 4

Yes or No

Yes

500

Is the following ordered pair (0, 1/3) a solution to the given equation: y = 1/(x+3)

Yes or No

Yes

Value of a function

100

If f(x) = -4x² +3x - 2. determine

f(2)

-12

200

If f(x) = -4x² +3x - 2. determine

f(-1)

-9

300

If f(x) = -4x² +3x - 2. determine

f(a)

f(a) = -4a² + 3a - 2

400

The Celsius temperature C, is a function of the Fahrenheit temperature F.

C(F) = 5/9 (F -32)

Determine the Celsius temperature that corresponds to 50ºF

C(50) = 10

500

If r(t) = -t³ - 2t² + t + 4. determine

r(-2)

r(-2) = 2

x and y-intercepts

100

Find the x- and y-intercepts of 2x + 3y = 6

(3,0) ; x = 3

(0,2) ; y = 2

200

Find the x- and y-intercepts of f(x) = -1/3 x - 1

(-3,0) x = -3

(0,-1) y = -1

300

Find the x- and y-intercepts of 3(x - 2) = 4(y - 5)

(-14/3, 0) ; x = -14/3 

(0, 7/2); y = 7/2

400

Find the x- and y-intercepts of 18x + 16y = 144

(8,0); x = 8 

(0,9); y = 9

500

Find the x- and y-intercepts of g(x) = -3/4 x - 3

(-4,9); x= -4 

(0,-3); y= -3

Slope of a line

100

Find the slope of f(x) = -2x + 1

m = -2

200

Find the slope of -5x + 2y = 8

m = 5/2

300

Find the slope of 2y + 4x = 6

m=-2

400

Determine the slope of the line through the given points. (1,2) and (4,8)

m=2

500

Find the slope of the line having these points:

(0,-6) and (-5, -3)

m = -3/5