11. Modeling with Functions
11.08 Solutions from a graph
Interactive practice questions
The functions $y=-x^3$y=−x3 and $y=-4x$y=−4x are shown on the graph below.
How many values of $x$x satisfy the equation $-x^3=-4x$−x3=−4x?
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Easy
< 1 min
Consider the functions $f\left(x\right)=-4x+x^2$f(x)=−4x+x2 and $g\left(x\right)=-12+6x-x^2$g(x)=−12+6x−x2.
Medium
5 min
Use a graphing calculator to solve $\sqrt[3]{x+13}=2$3√x+13=2.
If there is more than one solution, write all of them on the same line, separated by commas.
Medium
1 min
Use a graphing calculator to solve $x^{\frac{5}{3}}=5-4x^2$x53=5−4x2.
Give the solution(s) to the nearest hundredth.
If there is more than one solution, write all of them on the same line, separated by commas.
Medium
2 min
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