Pre Calculus Practice Problems
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Pre Calculus Practice Problems

Practice your pre calculus skills with these problems! Find the domain and range of a function, determine the equation of a line in slope-intercept form, and evaluate the difference quotient of a quadratic function. Test your understanding of pre calculus concepts and improve your skills.

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@IngeniousEnjambment

Questions and Answers

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

[0, 3)

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

y = -2x + 5

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

4x + 2h

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

<p>(−∞, −8)</p> 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]?

<p>7.5</p> 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?

<p>Linear</p> Signup and view all the answers

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

<p>6</p> 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)?

<p>4/3</p> Signup and view all the answers

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

<p>log(x/5)</p> 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?

<p>320</p> Signup and view all the answers

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

<p>1/3</p> Signup and view all the answers

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

<p>271.82</p> Signup and view all the answers

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

<p>3/5</p> Signup and view all the answers

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

<p>1/2</p> Signup and view all the answers

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

<p>All real numbers</p> Signup and view all the answers

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

<p>1/2</p> Signup and view all the answers

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

<p>[1,3]</p> Signup and view all the answers

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

<p>2 + sqrt(3)</p> Signup and view all the answers

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