Chapter EP, Problem 8.1.1EP

To determine

To find: The graph of given exponential function.

Answer to Problem 8.1.1EP

Domain:  All real numbers

Range:  All positive real numbers.

  

Explanation of Solution

Given information:

An exponential function is given as $y=3{\left(5\right)}^x$ .

Calculation:

An exponential function is given as $y=3{\left(5\right)}^x$ .

Let us suppose, $f(x)=y=3{\left(5\right)}^x$

Now, below is a table with few ordered pair.

$x$	$f(x)=y=3{\left(5\right)}^x$	$(x,y)$
$-2$	$y=3{\left(5\right)}^x=3{\left(5\right)}^{-2}=\frac{3}{25}=0.12$	$\left(-2,0.12\right)$
$-1$	$y=3{\left(5\right)}^x=3{\left(5\right)}^{-1}=\frac{3}{5}=0.6$	$\left(-1,0.6\right)$
$0$	$y=3{\left(5\right)}^x=3{\left(5\right)}^0=3$	$\left(0,3\right)$
$1$	$y=3{\left(5\right)}^x=3{\left(5\right)}^1=15$	$(1,15)$
$2$	$y=3{\left(5\right)}^x=3{\left(5\right)}^2=75$	$(2,75)$

Plotting graph of the exponential function $y=3{\left(5\right)}^x$ using above ordered pairs as below,

  

Domain:  All real numbers

Range:  All positive real numbers.