Question

Examine the relation h(x) defined at right.

Then estimate the values below.
a.
b.
C.
d.
e.
h(1)
h(3)
x when h(x) = 0
h(-1)
h(4)
1
17
P
67
h(x)
A
h(x)

Answer 1

Answer: a. h(1)=2

b. h(3)=-4

c. x=0

d. h(-1)=-2

e. h(-4)=13

Explanation:

Answer 2

a) h(1) = 2

b) h(3) = -4

c) x = 0

d) h(-1) = -2

e) h(-4) = 13

Explanation:

Part (a)

h(1) is the y-value when x = 1.

Find x = 1 on the x-axis. Trace vertically up until you meet the curve. Trace horizontally left until you meet the y-axis. Read the value of the y-axis.

Therefore, from inspection of the graph, h(1) = 2

Part (b)

h(3) is the y-value when x = 3.

Find x = 3 on the x-axis. Trace vertically down until you meet the curve. Trace horizontally left until you meet the y-axis. Read the value of the y-axis.

Therefore, from inspection of the graph, h(3) = -4

Part (c)

When h(x) = 0, y-value is y = 0.

From inspection of the graph, when y = 0, the curve goes through the origin (0, 0). Therefore, x = 0 when h(x) = 0.

Part (d)

h(-1) is the y-value when x = -1.

Find x = -1 on the x-axis. Trace vertically down until you meet the curve. Trace horizontally right until you meet the y-axis. Read the value of the y-axis.

Therefore, from inspection of the graph, h(-1) = -2

Part (e)

h(-4) is the y-value when x = -4.

Find x = -4 on the x-axis. Trace vertically up until you meet the curve. Trace horizontally right until you meet the y-axis. Read the value of the y-axis.

Therefore, from inspection of the graph, h(-4) = 13