Question Type 3: Finding points of intersection of two different functions Exercises

Determine where the curves $y=x^2-4$ and $y=4x+2$ intersect.

Find the points of intersection of the functions $y=2x+3$ and $y=x^2-1$.

Determine where the parabola $y=3x-x^2$ intersects the horizontal line $y=2$.

Find the intersection points of $y=2x^2+x$ and $y=3x+4$.

Find all intersection points of $y=|x-1|$ and $y=x+2$.

Solve for all $x$ in $[0,2\pi]$ where $y=\sin x$ intersects $y=\tfrac12$.

Determine the intersection points of $y=x^2-4$ and $y=\sqrt3\,x$.

Find all intersection points of $y=\ln x$ and $y=x-1$.

Determine the points where the circle $x^2+y^2=25$ meets the line $y=x+1$.

Find the intersection of the circle $x^2+y^2=9$ and the line $y=2x-3$.

Find the intersection points of $y=x^3$ and $y=x^2+2$.

Solve for the intersection of $y=|x|$ and $y=x-2$.