Q 8. - Precalculus Enhanced with Graphing Utilities

Question

Say true or false : 

The graph of $f\left(x\right)={\log }_{a}x$, where $a>0$and $a\ne 1$, has an x-intercept equal to 1 and no y-intercept.

Step-by-Step Solution

Answer

The statement is true.

Step 1. Given information

Given statement is : 

The graph of $f\left(x\right)={\log }_{a}x$, where $a>0$and $a\ne 1$, 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.