CALEB Function Graph Creation

Job ID: 40012339

Budget: $10 – $30 USD

I need a single, clean Cartesian‐plane graphic that literally writes the name “CALEB” by layering different equations and curves. Each letter must be formed by combining a variety of functions so that, across the whole drawing, all of the following appear at least once:

• horizontal line
• vertical line
• slanted (non-axis-aligned) line
• absolute-value “V” shape
• circle
• the parabola y = x² (opening upward)
• an exponential or logarithmic curve of the form a bˣ
• a square-root curve
• a cubic or cube-root curve
• a rational function with its asymptotes shown as dashed lines
• any additional linear, quadratic, or trigonometric pieces needed for clarity

Please arrange the equations so the letters are clearly legible and balanced within a reasonable window (for example −10 ≤ x ≤ 10, −10 ≤ y ≤ 10, though feel free to adjust). Distinct colors or line styles for each function family would be helpful, and everything should be neatly labeled.

Deliverable: a high-resolution image (PNG or PDF) plus the full list of equations used—with domain restrictions noted—so I can reproduce the plot in Desmos, GeoGebra, or similar graphing software.