Question

Plot the inverse of the function shown on the grid below. Ensure to plot the dots (points) as well as the line segments.

a) Quadratic Function
b) Cubic Function
c) Exponential Function
d) Logarithmic Function

Answer 1

To plot the inverse of a function, swap the x and y values and plot the resulting points for quadratic, cubic, exponential, and logarithmic functions.

Step-by-step explanation:

To plot the inverse of a function, you need to swap the roles of the dependent and independent variables. This means that if a point (x, y) is on the original function, then the corresponding point on the inverse function is (y, x). You can plot the inverse of a quadratic, cubic, exponential, or logarithmic function by swapping the x and y values and plotting the resulting points.

• Quadratic Function: If the quadratic function is y = ax^2 + bx + c, the inverse function is x = ay^2 + by + c.
• Cubic Function: If the cubic function is y = ax^3 + bx^2 + cx + d, the inverse function is x = ay^3 + by^2 + cy + d.
• Exponential Function: If the exponential function is y = a * b^x, the inverse function is x = logb(y/a).
• Logarithmic Function: If the logarithmic function is y = logb(ax), the inverse function is x = by/a.