Question

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True or False

The graph of the exponential function $f\left(x\right)=a^x$, where $a>0$and $a\ne 1$, has no $x-$intercept.

Short answer

True. The graph of the exponential function $f\left(x\right)=a^x$ has no $x-$intercept.

Step-by-step solution

Step 1. Given

An exponential function $f\left(x\right)=a^x$

To find the $x-$intercept.

Step 2. Finding x-intercept

For the exponential function, there are no $x-$intercepts and the $y-$intercept is one.

So the given statement is true.