Write the inequality in interval notation. − 4 ≤ x < 3 o r x > 9 -4\le x<3\ or\ x>9 − 4 ≤ x < 3 o r x > 9

[ − 4 , 3 ) ∪ ( 9 , ∞ ) \left[-4,3\right)\cup\left(9,\infty\right) [ − 4 , 3 ) ∪ ( 9 , ∞ )

( − 4 , 3 ) ∪ ( 9 , ∞ ) \left(-4,3\right)\cup\left(9,\infty\right) ( − 4 , 3 ) ∪ ( 9 , ∞ )

( − 4 , 3 ] ∪ [ 9 , ∞ ) \left(-4,3\right]\cup\left[9,\infty\right) ( − 4 , 3 ] ∪ [ 9 , ∞ )

Solve the exponential equation. 3 ⋅ 5 ( 2 x − 1 ) = 72 3\cdot5^{\left(2x-1\right)}=72 3 ⋅ 5 ( 2 x − 1 ) = 7 2

x ≈ 1.49 x\approx1.49 x ≈ 1 . 4 9

x ≈ 2.97 x\approx2.97 x ≈ 2 . 9 7

x ≈ 3.18 x\approx3.18 x ≈ 3 . 1 8

x ≈ 1.37 x\approx1.37 x ≈ 1 . 3 7

Solve for the length of side z. Δ X Y Z \Delta XYZ Δ X Y Z where x = 19, y = 25 and m<Z = 32 ° 32\degree 3 2 °

z ≈ 13.43 z\approx13.43 z ≈ 1 3 . 4 3

z ≈ 9.87 z\approx9.87 z ≈ 9 . 8 7

z ≈ 14.78 z\approx14.78 z ≈ 1 4 . 7 8

z ≈ 15.02 z\approx15.02 z ≈ 1 5 . 0 2

Δ D E F w h e r e m < D = 41 ° , d = 37 a n d e = 42 \Delta DEF\ where\ m<D=41\degree,\ d\ =\ 37\ and\ e=42 Δ D E F w h e r e m < D = 4 1 ° , d = 3 7 a n d e = 4 2 Solve for the measure of <E

m < E ≈ 48.1 ° o r 131.9 ° m<E\approx48.1\degree\ or\ 131.9\degree m < E ≈ 4 8 . 1 ° o r 1 3 1 . 9 °

m < E ≈ 48.1 ° m<E\approx48.1\degree m < E ≈ 4 8 . 1 °

m < E ≈ 139 ° m<E\approx139\degree m < E ≈ 1 3 9 °

m < E ≈ 56.7 ° m<E\approx56.7\degree m < E ≈ 5 6 . 7 °

Solve 2 sin ⁡ x + 1 = 0 2\sin x+1=0 2 sin x + 1 = 0 on the interval [ o , 2 π ] \left[o,\ 2\pi\right] [ o , 2 π ]

7 π 6 , 11 π 6 \frac{7\pi}{6},\frac{11\pi}{6} 6 7 π , 6 1 1 π

π 6 , 5 π 6 \frac{\pi}{6},\frac{5\pi}{6} 6 π , 6 5 π

π 3 , 2 π 3 \frac{\pi}{3},\frac{2\pi}{3} 3 π , 3 2 π

4 π 3 , 5 π 3 \frac{4\pi}{3},\ \frac{5\pi}{3} 3 4 π , 3 5 π

Find the exact value of sin ⁡ 285 ° \sin285\degree sin 2 8 5 °

( − 6 − 2 ) 4 \frac{\left(-\sqrt{6}-\sqrt{2}\right)}{4} 4 ( − 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( 6 + 2 ) 4 \frac{\left(\sqrt{6}+\sqrt{2}\right)}{4} 4 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( 6 + 2 ) 2 \frac{\left(\sqrt{6}+\sqrt{2}\right)}{2} 2 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( − 6 − 2 ) 2 \frac{\left(-\sqrt{6}-\sqrt{2}\right)}{2} 2 ( − 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

Solve 2 cos ⁡ x − sin ⁡ 2 x + 2 = 0 2\cos x-\sin^{2\ }x+2=0 2 cos x − sin 2 x + 2 = 0 for all values of x

π + 2 π n \pi+2\pi n π + 2 π n

π 2 + 2 π n \frac{\pi}{2}+2\pi n 2 π + 2 π n

Find the exact value of − sin ⁡ 75 ° -\sin75\degree − sin 7 5 °

− ( 6 + 2 ) 4 -\frac{\left(\sqrt{6}+\sqrt{2}\right)}{4} − 4 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( 6 + 2 ) 4 \frac{\left(\sqrt{6}+\sqrt{2}\right)}{4} 4 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( − 6 + 2 ) 4 \frac{\left(-\sqrt{6}+\sqrt{2}\right)}{4} 4 ( − 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

( 6 − 2 ) 4 \frac{\left(\sqrt{6}-\sqrt{2}\right)}{4} 4 ( 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

Precalculus review

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.SSE.B.3, HSF.TF.C.8, HSA.APR.D.6

+24

Standards-aligned

John Flanagan

Used 7+ times

FREE Resource

33 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the rational expression. $\frac{8x-5}{2x+3}-\frac{4x+7}{x-4}$

$\frac{16x^2-11x+41}{8x^2-5x-12}$

$\frac{16x^2-63x-1}{8x^2-5x-12}$

$\frac{-11x+41}{8x^2-5x-12}$

$\frac{-63x-1}{8x^2-5x-12}$

Tags

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the complex fraction. $\frac{\frac{2}{x}-5}{3+\frac{7}{x-4}}$

$\frac{-5x^2-18x+8}{3x^2+19x}$

$\frac{x^2-3x+5}{2x^2+7x}$

$\frac{2-5x}{3x+7}$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Factor the expression completely. $7x^3-63x+3x^2-27$

$\left(7x+3\right)\left(x^2-9\right)$

$\left(7x+3\right)\left(x+3\right)\left(x-3\right)$

$\left(3x+7\right)\left(x^2+9\right)$

$\left(x+2\right)\left(x-4\right)\left(7x-5\right)$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Divide the polynomial. $\frac{6x^4+7x^3+x^2-16}{2x+3}$

$5x^3-4x^2+7x+3+\frac{6}{2x+3}$

$3x^3-2x^2+4x+8+\frac{7}{2x+3}$

$2x^3-3x^2+2x-3+\frac{8}{2x+3}$

$3x^3-x^2+2x-3+\frac{-7}{2x+3}$

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Express the given series using sigma notation. 5 + 11 + 17 + ... + 95

$\sum_{n=0}^{15}\left(6n+5\right)$

$\sum_{n=0}^{16}\left(6n+5\right)$

$\sum_{n=0}^{15}\left(5n+6\right)$

$\sum_{n=0}^{16}\left(5n+6\right)$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write an equation in standard form for the function with roots at x = 8 and x = 7i.

$y=x^2-8x-7ix+56i$

$y=x^3+3x^2-5x+56$

$y=x^3-8x^2+49x-392$

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the end behavior of the function. $f\left(x\right)=\left(\frac{1}{2}\right)^x$

$as\ x\rightarrow-\infty,\ y\rightarrow\infty\ and\ as\ x\rightarrow\infty,\ y\rightarrow0$

$as\ x\rightarrow-\infty,\ y\rightarrow0\ and\ as\ x\rightarrow\infty,\ y\rightarrow\infty$

$as\ x\rightarrow-\infty,\ y\rightarrow-\infty\ and\ as\ x\rightarrow\infty,\ y\rightarrow0$

Tags

CCSS.HSF-IF.C.7E

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33 questions

Simplify the rational expression. $\frac{8x-5}{2x+3}-\frac{4x+7}{x-4}$

Simplify the complex fraction. $\frac{\frac{2}{x}-5}{3+\frac{7}{x-4}}$

Factor the expression completely. $7x^3-63x+3x^2-27$

Divide the polynomial. $\frac{6x^4+7x^3+x^2-16}{2x+3}$

Express the given series using sigma notation. 5 + 11 + 17 + ... + 95

Write an equation in standard form for the function with roots at x = 8 and x = 7i.

Describe the end behavior of the function. $f\left(x\right)=\left(\frac{1}{2}\right)^x$

Write the equation in factored form for the function that meets the following criteria. The graph passes through the x-axis at x=5 and x=-4. It also "bounces off" the x-axis at x=2. The graph also passes through (6, 280).

Find all of the roots of the function. $g\left(x\right)=x^4-x^3+19x^2-25x-150$

Write an equation with a parent function of $f\left(x\right)=x^3$ , a horizontal shift of 7 left, a vertical shift of 2 down and a vertical stretch of magnitude 9.

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Precalculus review

33 questions

Simplify the rational expression. 8x−52x+3−4x+7x−4\frac{8x-5}{2x+3}-\frac{4x+7}{x-4}2x+38x−5​−x−44x+7​

Simplify the complex fraction. 2x−53+7x−4\frac{\frac{2}{x}-5}{3+\frac{7}{x-4}}3+x−47​x2​−5​

Factor the expression completely. 7x3−63x+3x2−277x^3-63x+3x^2-277x3−63x+3x2−27

Divide the polynomial. 6x4+7x3+x2−162x+3\frac{6x^4+7x^3+x^2-16}{2x+3}2x+36x4+7x3+x2−16​

Express the given series using sigma notation. 5 + 11 + 17 + ... + 95

Write an equation in standard form for the function with roots at x = 8 and x = 7i.

Describe the end behavior of the function. f(x)=(12)xf\left(x\right)=\left(\frac{1}{2}\right)^xf(x)=(21​)x

Write the equation in factored form for the function that meets the following criteria. The graph passes through the x-axis at x=5 and x=-4. It also "bounces off" the x-axis at x=2. The graph also passes through (6, 280).

Find all of the roots of the function. g(x)=x4−x3+19x2−25x−150g\left(x\right)=x^4-x^3+19x^2-25x-150g(x)=x4−x3+19x2−25x−150

Write an equation with a parent function of f(x)=x3f\left(x\right)=x^3f(x)=x3 , a horizontal shift of 7 left, a vertical shift of 2 down and a vertical stretch of magnitude 9.

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Discover more resources for Mathematics

Simplify the rational expression. $\frac{8x-5}{2x+3}-\frac{4x+7}{x-4}$

Simplify the complex fraction. $\frac{\frac{2}{x}-5}{3+\frac{7}{x-4}}$

Factor the expression completely. $7x^3-63x+3x^2-27$

Divide the polynomial. $\frac{6x^4+7x^3+x^2-16}{2x+3}$

Describe the end behavior of the function. $f\left(x\right)=\left(\frac{1}{2}\right)^x$

Find all of the roots of the function. $g\left(x\right)=x^4-x^3+19x^2-25x-150$

Write an equation with a parent function of $f\left(x\right)=x^3$ , a horizontal shift of 7 left, a vertical shift of 2 down and a vertical stretch of magnitude 9.