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1.08 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
< 1min

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+6xx2.

Medium
5min

Use a graphing calculator to solve $\sqrt[3]{x+13}=2$3x+13=2.

If there is more than one solution, write all of them on the same line, separated by commas.

Medium
1min

Use a graphing calculator to solve $x^{\frac{5}{3}}=5-4x^2$x53=54x2.

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
2min
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Outcomes

A2.2.A

Graph the functions f(x)=√x, f(x)=1/x, f(x)=x^3, f(x)= 3√x, f(x)=b^x, f(x)=|x|, and f(x)=log_b (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval

A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

A2.8.C

Predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models

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