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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.3, Problem 5E

a.

To determine

**To calculate**: the values of

Expert Solution

**Given information**: the graph of function h is provided,

**Graph**:

**Interpretation:**

In the graph, the value of

Similarly, the corresponding y -values for,

Hence,

b.

To determine

**To calculate**: the domain and the range of the provided graph

Expert Solution

The domain and range of h is [-3,4] and [-1,4], respectively.

**Given information**: the graph of function h is provided,

**Graph**:

**Interpretation:**

The domain of the function h is all the ix-values of the points on the graph, and the range is all the corresponding y -values.

From the graph of h , we see that the domain of h is the interval [-3, 4] and the range of h is the interval [-1, 4].

Hence, the domain and range of h is [-3,4] and [-1,4], respectively.

c.

To determine

**To calculate**: the value of x for which h ( x ) = 3

Expert Solution

the value of x for which h ( x ) = 3 is

**Given information**: the graph of function h is provided,

**Graph:**

**Calculation**:

The function value of h ( a ) from the graph of h , is the height of the graph above the x -axis at x = a ,

Therefore, h ( x ) = 3 is the x -value on the x -axis where the height above it is 3, that are,

Hence, the value of x for which h ( x ) = 3 is

d.

To determine

**To calculate**: the values for

Expert Solution

the values of x forare and x = 4

**Given information**: the graph of function h is provided,

**Calculation**:

When

Therefore, the x-values from the graph for

Hence, the values of x for