Pre Calculus Practice Problems

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What is the domain of the function given in the problem?

(0, 3)

(0, 3]

[0, 3) (correct)

[0, 3]

What is the equation of the line containing the points (2, 1) and (1, 3)?

y = -x + 2

y = x + 3

y = 2x + 1

y = -2x + 5 (correct)

What is the simplified form of the difference quotient for f(x) = 2x^2 - 3?

4x + 2h (correct)

4x - 2h

4x + h

4x - h

What is the solution to the inequality 2x - 2 > 3(x + 2)?

(−∞, −8) Signup and view all the answers

What is the average rate of change of the function f(x) = 3x^2 - 1 on the interval [1/2, 2]?

7.5 Signup and view all the answers

What type of model best describes the number of miles N on the car's odometer after x days?

Linear Signup and view all the answers

What is the value of x in the equation log(102x) = 12?

6 Signup and view all the answers

What is the value of the composite function (f ∘ g)(5) when f(x) = x + 1 and g(x) = 1/(x - 2)?

4/3 Signup and view all the answers

What is the inverse function of f(x) = 5 * 10^x?

log(x/5) Signup and view all the answers

What is the value of y(9) when y = 5 * a^x, y(0) = 5, and y(3) = 20?

320 Signup and view all the answers

What is the value of x in the equation log(x + 3) - log(x) = 1?

1/3 Signup and view all the answers

What is the value of the account after 10 years, assuming a continuous compounding rate of 2%?

271.82 Signup and view all the answers

What is the value of $sin(\cos^{-1}{\left( \frac{4}{5} \right)})$?

3/5 Signup and view all the answers

If $sin(45^{\circ}+30^{\circ}) = \frac{\sqrt{6} + \sqrt{2}}{2}$, what is the value of $sin(45^{\circ})$?

1/2 Signup and view all the answers

What is the domain of the function $f(x) = -2\ Sin(\frac{\pi}{2}x)$?

All real numbers Signup and view all the answers

What is the value of $cos(\pi/3)$?

1/2 Signup and view all the answers

If $f(x) = 2 + Cos(\pi x)$, what is the range of $f(x)$?

[1,3] Signup and view all the answers

What is the value of $tan(75^{\circ})$?

2 + sqrt(3) Signup and view all the answers