Question

In Problems 87–94, analyze each polynomial function f by following Steps 1 through 8 on page 192.

$f\left(x\right)=-1.2x^4+0.5x^2-\sqrt{3}x+2$

Short answer

$f\left(x\right)=-1.2x^4+0.5x^2-\sqrt{3}x+2$

Step-by-step solution

Step 1. Given Information

$f\left(x\right)=-1.2x^4+0.5x^2-\sqrt{3}x+2$

Step 2. End Behavior

$f\left(x\right)=-1.2x^4+0.5x^2-\sqrt{3}x+2$

Since as $x\to -\infty$then $f\left(x\right)\to -\infty$

and as$x\to \infty$then$f\left(x\right)\to -\infty$

Step 2. Graph

Step 3. x and y-intercept

$f\left(x\right)=-1.2x^4+0.5x^2-\sqrt{3}x+2$

Then, $f\left(0\right)=2$

For x-intercept

$-1.2x^4+0.5x^2-\sqrt{3}x+2=0$

Solving this we get, $x=-1.472,0.913$

Therefore, $x-$intercept is $(-1.472,0)\&(0.913,0)$

and$y-$intercept is$(0,2)$.

Step 4. Calculation

Now we have to find points about the point of the graph.

$x$	$y$
$-2$
$-1$