Qqm 1023

12).

Based on the graphs, determine the domain and range of the given functions y

a)

b)

y

x

= x

R, y

x

= x ∈ R, y ≥ 4

R

y

b)

x

= 40 ≥ x ≥ 10

14). graph.

Find the slope and the vertical-axis intercept of the linear function, and sketch the

a) y = f (x) = x + 1

graph

y m (slope) = 1 when x = 0, y=0+1 y = 1, (0 , 1) when y = 0, 0=x+1 x = -1 (-1 , 0 )

1 x -1

b) h (t) = 5t -7

m(slope) = 5 when t = 0, h = 5(0) – 7 h = -7 (0 , -7) When h = 0, 0 = 5t -7 t=7 5 7,0 5

graph y

x 7 5 -7

c) h (q)= 2 – q

7 m = -1 7

y

When q = 0, h=2 -1(0) 7 7 =2 7 When h = 0, 2 - 1q=0 7 7 q=2 ( 2 , 0)

15).

2 7

x 2

Find the function f(x) if f is a linear function that has the given properties :

a) Slope = 0.01 and passing through (0.1, 0.001) y = mx + c 1.1 = 0.01(0.1) + c c = 0.009

y = 0.01x + 0.009 b) Slope = -2, f 2 = -7

5 y = mx + c -7 = -2 2

+c 5

c = -31 5 y = -2x – 31 5 c) f(-2) = -1, f(-4) = -3 y = mx + c -1 = m(-2 ) + c -1 = -2m + c -3 = m(-4) + c -3 = -4m + c -1 = -2m + c -3 = -4m + c 2 = 2m + 0 m=1 -1 = -2(1) + c c=1 y=x+1

13). Given that C(x) = 2x + 1100 is a cost function used to calculate the weekly cost of producing one of plastic products where x is the number of products. a) What type of function is C(x)? -Linear function b) What is the domain of C(x)? Domain : D : x R /

c) How much is the cost of producing 20 units of products? C(x) = 2x + 100 C(20) = 2(20) + 1100 = RM 1140 d) How much is the cost if we do not produce any products? C(x) = 2x + 100 C(0) = 2(0) + 1100 = RM 1100