topic badge

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?

Loading Graph...

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

III.A.REI.11

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, for example, using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/ or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

What is Mathspace

About Mathspace