Math Problem Statement

Use your graphing calculator to produce a graph of the function. Then determine the domain and range of the function by looking at its graph. f left parenthesis x right parenthesis equals ln left parenthesis x plus 1 right parenthesis Question content area bottom Part 1 Identify the graph of the function f left parenthesis x right parenthesis equals ln left parenthesis x plus 1 right parenthesis. Choose the correct graph below. A.

A coordinate system has a horizontal axis labeled from negative 6 to 6 in increments of 1 and a vertical axis labeled from negative 6 to 6 in increments of 1. A curve rises steeply to the left of the vertical axis and then rises at a decreasing rate, passing through the points (5, 1.8) and (6, 1.9). As the curve approaches a horizontal cooridnate of negative 1 from the right, the curve approaches negative infinity. All coordinates are approximate. ​[negative 6​,6​] by ​[minus​6,6] B.

A coordinate system has a horizontal axis labeled from negative 2 to 10 in increments of 1 and a vertical axis labeled from negative 6 to 6 in increments of 1. A curve rises steeply to the right of the vertical axis and then rises at a decreasing rate, passing through (9, 2.1) and (10, 2.2). As the curve approaches a horizontal coordinate of 1 from the right, the curve approaches negative infinity. All coordinates are approximate. ​[negative 2​,10​] by ​[minus​6,6] C.

A coordinate system has a horizontal axis labeled from negative 6 to 6 in increments of 1 and a vertical axis labeled from negative 6 to 6 in increments of 1. A curve falls steeply to the left of the vertical axis and then falls at a decreasing rate, passing through the points (5, negative 1.8) and (6, negative 1.9). As the curve approaches a horizontal coordinate of negative 1 from the right, the curve approaches positive infinity. All coordinates are approximate. ​[negative 6​,6​] by ​[minus​6,6] D.

A coordinate system has a horizontal axis labeled from negative 2 to 10 in increments of 1 and a vertical axis labeled from negative 6 to 6 in increments of 1. A curve falls steeply to the right of the vertical axis and then falls at a decreasing rate, passing through (9, negative 2.1) and (10, negative 2.2). As the curve approaches a horizontal coordinate of 1 from the right, the curve approaches positive infinity. All coordinates are approximate. ​[negative 2​,10​] by ​[minus​6,6] Part 2 The domain of the function is    enter your response here. ​(Type your answer in interval​ notation.) Part 3 The range of the function is    enter your response here. ​(Type your answer in interval​ notation.)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Logarithmic Functions
Domain and Range
Graphing

Formulas

f(x) = ln(x + 1)

Theorems

Properties of Logarithmic Functions
Domain and Range of Logarithmic Functions

Suitable Grade Level

Grades 10-12