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

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

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

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

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

Find the values of $x$ in the interval $0 \le x \le 2\pi$ for which the graph of $y=\sin x$ intersects the line $y=\frac{1}{2}$.

Determine the intersection points of $y=x^2-4$ and $y=\sqrt{3}x$.

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

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

Find the coordinates of the intersection point of the graphs of $y = x^3$ and $y = x^2 + 2$.

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

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

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