5. Q5f
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Similar Question 1
<p>Show algebraically that the function <code class='latex inline'>\displaystyle f(x)=|3 x|+x^{2} </code> is an even function.</p>
Similar Question 2
<p>Determine algebraically if each function is even, odd, or neither.</p><p><code class='latex inline'>\displaystyle f(x) = (-x)^2 </code></p>
Similar Question 3
<p>For each function, determine <code class='latex inline'>f(-x)</code> and <code class='latex inline'>-f(-x)</code> and compare it with <code class='latex inline'>f(x)</code>. Is the function even, odd, or neither?</p><p><code class='latex inline'>f(x) = |2x + 3|</code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Determine algebraically if each function is even, odd, or neither.</p><p><code class='latex inline'>\displaystyle f(x) = |2x| </code></p>
<p>Determine algebraically if each function is even, odd, or neither.</p><p><code class='latex inline'>\displaystyle f(x) = x + 4 </code></p>
<p>Show algebraically that the function <code class='latex inline'>\displaystyle f(x)=|3 x|+x^{2} </code> is an even function.</p>
<p>Which best describes</p><p><code class='latex inline'>\displaystyle f(x)=(x-2)(x+2) ? </code></p><p><code class='latex inline'>\displaystyle \begin{array}{ll}\text { a) odd } & \text { c) neither a) nor b) } \\ \text { b) even } & \text { d) both a) and b) }\end{array} </code></p>
<p>If <code class='latex inline'>f(x)</code> is an odd function and <code class='latex inline'>f(a)= 5</code>, then </p><p>A <code class='latex inline'>f(-a) = 5</code></p><p>B <code class='latex inline'>f(-a) = a</code></p><p>C <code class='latex inline'>f(-a) = -5</code></p><p>D <code class='latex inline'>f(-a) = -a</code></p>
<p>For each function, determine <code class='latex inline'>f(-x)</code> and <code class='latex inline'>-f(-x)</code> and compare it with <code class='latex inline'>f(x)</code>. Is the function even, odd, or neither?</p><p><code class='latex inline'>f(x) = |2x + 3|</code></p>
<p>Determine algebraically if each function is even, odd, or neither.</p><p><code class='latex inline'>\displaystyle f(x) = (-x)^2 </code></p>
<p> Graph each pair of functions. What do you notice? Provide an algebraic explanation for what you observe.</p><p>i. <code class='latex inline'>y =(-x)^2</code> and <code class='latex inline'>y = x^2</code></p><p>ii. <code class='latex inline'>y =(-x)^4</code> and <code class='latex inline'>y = x^4</code></p><p>iii. <code class='latex inline'>y =(-x)^6</code> and <code class='latex inline'>y = x^6</code></p>
<p>Determine algebraically if each function is even, odd, or neither.</p><p><code class='latex inline'>\displaystyle f(x) = 4x^5 +3x^3 -1 </code></p>
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