Chapter 4: Q 94. (page 195)

In Problems 87–94, analyze each polynomial function f by following Steps 1 through 8 on page 192.
$f (x) = - 1.2 x^{4} + 0.5 x^{2} - \sqrt{3} x + 2$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information

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

Step 2. End Behavior

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

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

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

Step 2. Graph

Step 3. x and y-intercept

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

Then, $f (0) = 2$

For x-intercept

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

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.

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

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In Problems 87–94, analyze each polynomial function f by following Steps 1 through 8 on page 192.
$f (x) = - 1.2 x^{4} + 0.5 x^{2} - \sqrt{3} x + 2$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. End Behavior

Step 2. Graph

Step 3. x and y-intercept

Step 4. Calculation

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Most popular questions from this chapter

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In Problems 87–94, analyze each polynomial function f by following Steps 1 through 8 on page 192.f(x)=-1.2x4+0.5x2-3x+2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. End Behavior

Step 2. Graph

Step 3. x and y-intercept

Step 4. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 87–94, analyze each polynomial function f by following Steps 1 through 8 on page 192.
$f (x) = - 1.2 x^{4} + 0.5 x^{2} - \sqrt{3} x + 2$