Jeopardy Hosted by Mrs. Mann

Graph Behavior Exp/Log Functions Trig Functions Variety 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500

Is f(x) = x2 + 1 a one-to-one function? No – it doesn’t pass the horizontal line test. Is f(x) = x2 + 1 a one-to-one function? Row 1, Col 1

3 Evaluate log103 1,2

Evaluate the trigonometric 1/2 Evaluate the trigonometric expression sin(π/6). 1,3

How do you show algebraically that two functions are inverses? Show f(g(x))=g(f(x))=x How do you show algebraically that two functions are inverses? 1,4

What is the right end behavior of the graph of f(x) = -x2 + 3x? limx∞f(x)= - ∞ What is the right end behavior of the graph of f(x) = -x2 + 3x? 2,1

1/2 Evaluate log366. 2,2

Quadrant 4 In what quadrant are values of sin(θ) negative and values of cos(θ) positive? 2,3

531441 Simplify (815/2)(9) 2,4

23 Find the average rate of change of f(x) = 3x2 + 2x – 1 on the interval [2, 5]. 3,1

Solve for x. log62x + log63 = log612 3,2

Find the value of the missing sides in the triangle below. 3,3

Show algebraically whether f(x) = cos(x) is even, odd, or neither. Even: cos(-x)=cos(2π-x)=cos(x) Show algebraically whether f(x) = cos(x) is even, odd, or neither. 3,4

Increasing: (-∞, -2.8) and (0, ∞) Decreasing: (-2.8, 0) Estimate the intervals where f(x) = x3 + 4x2 is increasing, decreasing, or constant. 4,1

20 Solve log(5x)=2 4,2

Evaluate the trigonometric expression tan(4π/3). √3 Evaluate the trigonometric expression tan(4π/3). 4,3

An adult takes 450mg of ibuprofen. Each hour, the amount of ibuprofen 4.09 hours An adult takes 450mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 18%. How long until there are less than 200mg in the body? 4,4

Estimate and classify all extrema of f(x)=x4 – 3x3 + x. Relative minimum: (-0.4, -0.2) Relative maximum: (0.4, 0.2) Absolute minimum: (2.2, -6.3) Estimate and classify all extrema of f(x)=x4 – 3x3 + x. 5,1

Find the exponential function that passes through the points (1, 7) y = (1.20)(5.86)x Find the exponential function that passes through the points (1, 7) and (2, 41). Round values to the nearest hundredth. 5,2

Find the domain and range of f(x) = cos(x). 5,3

Find the inverse of f(x)=2x2+7. Restrict the domain of the original Restrict domain of f to x≥0 f-1(x) = √((x-7)/2) Find the inverse of f(x)=2x2+7. Restrict the domain of the original and/or inverse function, if necessary. 5,4