Chapter 5: Q 8. (page 297)

Say true or false :
The graph of $f (x) = \log_{a} x$ , where $a > 0$ and $a \neq 1$ , has an x-intercept equal to 1 and no y-intercept.

Short Answer

Expert verified

The statement is true.

Step by step solution

Step 1. Given information

Given statement is :

The graph of $f (x) = \log_{a} x$ , where $a > 0$ and $a \neq 1$ , has an x-intercept equal to 1 and no y-intercept

X- intercept : The point on $X$ -axis that touches function, i.e., $(x, 0)$ where $x$ is arbitary.

Y-intercept : The point on $Y$ -axis that touches function , i.e., $(y, 0)$ where $y$ is arbitary.

Step 2. Graph regarding statement

The graph of the above statement is

Step 3. Check

The statement is true according to the graph.

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Say true or false :
The graph of $f (x) = \log_{a} x$ , where $a > 0$ and $a \neq 1$ , has an x-intercept equal to 1 and no y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph regarding statement

Step 3. Check

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Say true or false :The graph of f(x)=logax, where a>0and a≠1, has an x-intercept equal to 1 and no y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph regarding statement

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

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Say true or false :
The graph of $f (x) = \log_{a} x$ , where $a > 0$ and $a \neq 1$ , has an x-intercept equal to 1 and no y-intercept.