the function $f(x)$ is expressed as $f(x)=2x^{x}$, while $g(x)$ is given as $g(x)=\frac{3x}{x}$. using the…

the function $f(x)$ is expressed as $f(x)=2x^{x}$, while $g(x)$ is given as $g(x)=\frac{3x}{x}$. using the geogebra graphing calculator, find the approximate solutions to the equation $f(x)=g(x)$. drag and drop the correct answer to each box to complete the sentence. the graphs of the two functions have the approximate solution of $f(x)=g(x)$ is/are exactly 1 intersection point. 2 intersection points. $xapprox1.44$ $xapprox - 0.53$ $xapprox1.20$ $xapprox - 1.23$ and $xapprox1.23$

the function $f(x)$ is expressed as $f(x)=2x^{x}$, while $g(x)$ is given as $g(x)=\frac{3x}{x}$. using the geogebra graphing calculator, find the approximate solutions to the equation $f(x)=g(x)$. drag and drop the correct answer to each box to complete the sentence. the graphs of the two functions have the approximate solution of $f(x)=g(x)$ is/are exactly 1 intersection point. 2 intersection points. $xapprox1.44$ $xapprox - 0.53$ $xapprox1.20$ $xapprox - 1.23$ and $xapprox1.23$

Answer

Answer:

The graphs of the two functions have: 2 intersection points. The approximate solution of (f(x)=g(x)) is/are: (x\approx - 0.53) and (x\approx1.20)

Explanation:

Step1: Input functions

Input (y = 2x^{2}) and (y=\frac{3x}{x}) (simplified to (y = 3) for (x\neq0)) into GeoGebra.

Step2: Analyze intersections

Observe the graph to count intersection - points and read approximate (x) - values of intersection points. The parabola (y = 2x^{2}) and the horizontal line (y = 3) ((x\neq0)) intersect at two points. By using the intersection - finding tool in GeoGebra, we get the approximate (x) - values of the intersection points as (x\approx - 0.53) and (x\approx1.20).