Answer: \(3625\).

A \(\to\) 3. Graph A starts at \((0,0)\), is defined only for \(x\ge 0\), and increases slowly, so it is \(y=\sqrt[4]{x}\).

B \(\to\) 6. Graph B passes through \((0,1)\) and increases rapidly, so it is \(y=2^x\).

C \(\to\) 2. Graph C passes through \((0,1)\) and decreases as \(x\) increases, so it is \(y=\left(\frac14\right)^x\).

D \(\to\) 5. Graph D is a periodic wave passing through the origin, so it is \(y=\sin 2x\).

Answer: \(5263\).

A \(\to\) 5. Graph A is S-shaped, passes through the origin, and is defined for all \(x\), so it is \(y=\sqrt[5]{x}\).

B \(\to\) 2. Graph B has value 1 at \(x=0\), and its minimum is near \(x=\frac\pi2\), so it is \(y=\cos 2x\).

C \(\to\) 6. Graph C passes through \((0,1)\) and grows exponentially, so it is \(y=3^x\).

D \(\to\) 3. Graph D is defined only for \(x>0\), passes through \((1,0)\), and increases, so it is \(y=\log_3 x\).

Answer: \(1264\).

A \(\to\) 1. Graph A has two branches in quadrants I and III, so it is the hyperbola \(y=\frac1x\).

B \(\to\) 2. Graph B passes through \((0,1)\) and decreases, so it is \(y=\left(\frac15\right)^x\).

C \(\to\) 6. Graph C passes through \((0,1)\) and increases rapidly, so it is \(y=4^x\).

D \(\to\) 4. Graph D is periodic, passes through the origin, and reaches a maximum at \(x=\frac\pi2\), so it is \(y=\sin x\).

Answer: \(3125\).

A \(\to\) 3. Graph A is a decreasing exponential passing through \((0,1)\), so it is \(y=\left(\frac12\right)^x\).

B \(\to\) 1. Graph B starts at \((0,0)\), is defined for \(x\ge 0\), and increases, so it is \(y=\sqrt{x}\).

C \(\to\) 2. Graph C is defined only for \(x>0\), passes through \((1,0)\), and increases, so it is \(y=\log_6 x\).

D \(\to\) 5. Graph D has vertical asymptotes and increasing branches, so it is \(y=\tan x\).

Answer: \(3265\).

A \(\to\) 3. Graph A has branches in quadrants II and IV, so it is \(y=-\frac1x\).

B \(\to\) 2. Graph B is S-shaped and passes through the origin, so it is \(y=\sqrt[3]{x}\).

C \(\to\) 6. Graph C increases exponentially and passes through \((0,1)\), so it is \(y=5^x\).

D \(\to\) 5. Graph D is periodic and has a maximum at \(x=0\), so it is \(y=\cos x\).

Answer: \(2654\).

A \(\to\) 2. Graph A starts at \((0,0)\) and is defined only for \(x\ge 0\), so it is \(y=\sqrt[4]{x}\).

B \(\to\) 6. Graph B is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac13\right)^x\).

C \(\to\) 5. Graph C has vertical asymptotes and decreasing branches, so it is \(y=\cot x\).

D \(\to\) 4. Graph D is periodic and passes through the origin, so it is \(y=\sin x\).

Answer: \(4562\).

A \(\to\) 4. Graph A is defined only for \(x>0\), passes through \((1,0)\), and decreases, so it is \(y=\log_{1/4}x\).

B \(\to\) 5. Graph B is S-shaped and passes through the origin, so it is \(y=\sqrt[3]{x}\).

C \(\to\) 6. Graph C is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac14\right)^x\).

D \(\to\) 2. Graph D has frequent vertical asymptotes and increasing branches, so it is \(y=\tan 2x\).

Answer: \(5613\).

A \(\to\) 5. Graph A has decreasing branches with vertical asymptotes and period \(\frac\pi2\), so it is \(y=\cot 2x\).

B \(\to\) 6. Graph B is a hyperbola with branches in quadrants I and III, so it is \(y=\frac{2}{x}\).

C \(\to\) 1. Graph C is an increasing exponential through \((0,1)\), so it is \(y=6^x\).

D \(\to\) 3. Graph D is a decreasing logarithm passing through \((1,0)\), so it is \(y=\log_{1/3}x\).

Answer: \(6315\).

A \(\to\) 6. Graph A is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac16\right)^x\).

B \(\to\) 3. Graph B is a rapidly increasing exponential through \((0,1)\), so it is \(y=4^x\).

C \(\to\) 1. Graph C is periodic, has a maximum at \(x=0\), and a minimum at \(x=\frac\pi2\), so it is \(y=\cos 2x\).

D \(\to\) 5. Graph D is an increasing logarithm passing through \((1,0)\), so it is \(y=\log_5 x\).

Answer: \(2156\).

A \(\to\) 2. Graph A is defined only for \(x>0\), decreases, and passes through \((1,0)\), so it is \(y=\log_{1/4}x\).

B \(\to\) 1. Graph B is S-shaped and passes through the origin, so it is \(y=\sqrt[5]{x}\).

C \(\to\) 5. Graph C is a periodic wave passing through the origin, so it is \(y=\sin 2x\).

D \(\to\) 6. Graph D is defined for \(x\ge 0\), starts at \((0,0)\), and increases slowly, so it is \(y=\sqrt[4]{x}\).

Answer: \(3165\).

A \(\to\) 3. Graph A is an increasing logarithm passing through \((1,0)\), so it is \(y=\log_6 x\).

B \(\to\) 1. Graph B is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac12\right)^x\).

C \(\to\) 6. Graph C is an increasing exponential through \((0,1)\), so it is \(y=3^x\).

D \(\to\) 5. Graph D has vertical asymptotes and increasing branches, so it is \(y=\tan x\).

Answer: \(6134\).

A \(\to\) 6. Graph A is S-shaped and passes through the origin, so it is \(y=\sqrt[3]{x}\).

B \(\to\) 1. Graph B is a decreasing logarithm passing through \((1,0)\), so it is \(y=\log_{1/2}x\).

C \(\to\) 3. Graph C is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac13\right)^x\).

D \(\to\) 4. Graph D has vertical asymptotes and decreasing branches, so it is \(y=\cot x\).

Answer: \(3451\).

A \(\to\) 3. Graph A is an increasing logarithm passing through \((1,0)\), so it is \(y=\log_4 x\).

B \(\to\) 4. Graph B is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac13\right)^x\).

C \(\to\) 5. Graph C is a periodic function with amplitude 2 passing through the origin, so it is \(y=2\sin x\).

D \(\to\) 1. Graph D starts at \((0,0)\), is defined for \(x\ge 0\), and has value 2 at \(x=1\), so it is \(y=2\sqrt[4]{x}\).

Answer: \(2635\).

A \(\to\) 2. Graph A starts at \((0,0)\), is defined for \(x\ge 0\), and increases very slowly, so it is \(y=\sqrt[6]{x}\).

B \(\to\) 6. Graph B is a hyperbola with branches in quadrants I and III, so it is \(y=\frac{2}{x}\).

C \(\to\) 3. Graph C is an increasing exponential through \((0,1)\), so it is \(y=4^x\).

D \(\to\) 5. Graph D is a periodic graph with a maximum at \(x=0\) and amplitude 2, so it is \(y=2\cos x\).

Answer: \(6352\).

A \(\to\) 6. Graph A is S-shaped and passes through the origin with a vertical stretch, so it is \(y=2\sqrt[3]{x}\).

B \(\to\) 3. Graph B is a hyperbola with branches in quadrants II and IV, so it is \(y=-\frac{2}{x}\).

C \(\to\) 5. Graph C is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac14\right)^x\).

D \(\to\) 2. Graph D has vertical asymptotes and increasing branches, so it is \(y=2\tan x\).

Answer: \(6342\).

A \(\to\) 6. Graph A starts at \((0,0)\), is defined for \(x\ge 0\), and has value 2 at \(x=1\), so it is \(y=2\sqrt{x}\).

B \(\to\) 3. Graph B is a decreasing exponential through \((0,1)\), so it is \(y=\left(\frac13\right)^x\).

C \(\to\) 4. Graph C has vertical asymptotes and decreasing branches, so it is \(y=2\cot x\).

D \(\to\) 2. Graph D is defined only for \(x>0\), passes through \((1,0)\), and decreases, so it is \(y=\log_{1/3}x\).