4.2E: Exercises
- Page ID
- 109054
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- For the function \(f(x)=5x^2−8x+1\) find \(f(1)\)
- For the function \(f(x)=x^3+2x-1\) find \(f(0)\)
- For the function \(f(x)=-3x^4−2x+3\) find \(f(-2)\)
- For the function \(f(x)=8x+6\) find \(f(-3)\)
- For the function \(f(x)=x^2+1\) find \(f(-10)\)
- Answer
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- -2
- -1
- -41
- -18
- 101
- The polynomial function \(h(t)=−16t^2+300\) gives the height of a ball t seconds after it is dropped from a 100-foot tall bridge. Find the height after \(t=3\) seconds.
- The polynomial function \(h(t)=−16t^2+275\) gives the height of a ball t seconds after it is dropped from a 275-foot tall bridge. Find the height after \(t=2\) seconds.
- The polynomial function \(h(t)=−16t^2+90\) gives the height of a ball t seconds after it is dropped from a 175-foot tall bridge. Find the height after \(t=1\) seconds.
- Answer
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- The height is \(156\) feet.
- The height is \(211\) feet.
- The height is \(74\) feet.
- Find the polynomial that makes this graph.
(x-2)(x-3).png?revision=1&size=bestfit&width=304&height=428)
- Answer
-
- \((x+1)(x-2)(x-3)\)
- Find the polynomial that makes this graph.
(x%252B1)(x-2)(x-3).png?revision=1&size=bestfit&width=424&height=489)
- Answer
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- \((x-1)(x+1)(x-2)(x-3)\)
- Find the polynomial that makes this graph.
(x%252B1)(x-2).png?revision=1&size=bestfit&width=420&height=370)
- Answer
-
- \((x-1)(x+1)(x-2)\)
- Find the polynomial that makes this graph.
(x%252B1).png?revision=1&size=bestfit&width=420&height=358)
- Answer
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- \(x-1)(x+1)\)
- Find the polynomial that makes this graph.
(x%252B2)(x-2)(x-3).png?revision=1&size=bestfit&width=425&height=637)
- Answer
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- \((x-1)(x+2)(x-2)(x-3)\)
Find end behavior of
- \(f(x)=-8x^7-4x+5\)
- \(f(x)=6x^2+3x+2\)
- \(f(x)=x^3-4x^2+5\)
- \(f(x)=-9x^{12}-4x^4+5\)
- \(f(x)=x^4-4x+5\)
- Answer
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- As \(x\to\infty\), \(f(x)\to -\infty\) and as \(x\to-\infty\), \(f(x)\to \infty\)
- As \(x\to\infty\), \(f(x)\to \infty\) and as \(x\to-\infty\), \(f(x)\to \infty\)
- As \(x\to\infty\), \(f(x)\to \infty\) and as \(x\to-\infty\), \(f(x)\to -\infty\)
- As \(x\to\infty\), \(f(x)\to -\infty\) and as \(x\to-\infty\), \(f(x)\to -\infty\)
- As \(x\to\infty\), \(f(x)\to \infty\) and as \(x\to-\infty\), \(f(x)\to \infty\)