Quiz LibraryPrecalculus - Midterm Exam Review
Created from Youtube video: https://www.youtube.com/watch?v=257wwWNMGIkvideo
Concepts covered:Precalculus, domain, difference quotient, trigonometric functions, quadratic equations
The video provides a comprehensive review of a Precalculus midterm exam, covering various topics such as finding the domain of functions, calculating the difference quotient, and solving quadratic and exponential equations. It also includes graphing techniques for trigonometric functions and solving trigonometric equations, emphasizing the importance of showing work for full credit.
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Precalculus - Midterm Exam Review
Concepts covered:Precalculus, domain, difference quotient, trigonometric functions, quadratic equations
The video provides a comprehensive review of a Precalculus midterm exam, covering various topics such as finding the domain of functions, calculating the difference quotient, and solving quadratic and exponential equations. It also includes graphing techniques for trigonometric functions and solving trigonometric equations, emphasizing the importance of showing work for full credit.
Question 1
Is the domain of a square root function x ≤ 7?
Question 2
What is the formula for the difference quotient?
Question 3
For a rational function, the domain is restricted by the denominator not being _____ .
Question 4
CASE STUDY: A data analyst is using logarithms to model data growth.
Identify the incorrect use of logarithms in data modeling.
Question 5
CASE STUDY: An engineer is calculating the range of a projectile's motion.
Select three correct factors affecting projectile range.
Question 6
Does dividing by a negative flip the inequality sign?
Question 7
What is the vertex form of a quadratic function?
Question 8
The range of a function in interval notation is written from _____ to positive.
Question 9
CASE STUDY: A student is solving a quadratic equation using the quadratic formula.
Identify the incorrect step in solving the equation.
Question 10
CASE STUDY: A mathematician is proving a trigonometric identity.
Select three correct steps in proving identities.
Question 11
Does a parabola open down if a < 0?
Question 12
What is the range of a function in interval notation?
Question 13
The axis of symmetry for a parabola is given by x = _____ .
Question 14
CASE STUDY: A student is solving a logarithmic equation for an exam.
Identify the incorrect step in solving logarithmic equations.
Question 15
Is the secant function the reciprocal of sine?
Question 16
How do you find the axis of symmetry in a parabola?
Question 17
In set notation, the domain of x less than or equal to 7 is written as _____ .
Question 18
CASE STUDY: A physicist is determining the maximum height of a projectile.
Identify the incorrect method for finding maximum height.
Question 19
Is the range of a function always from -∞ to ∞?
Question 20
What is the period of a sine function?
Question 21
The difference quotient formula is f(x + h) - f(x) all over _____ .
Question 22
Is the y-intercept always at the origin?
Question 23
How do you solve a quadratic equation by factoring?
Question 24
When dividing both sides of an inequality by a negative, the inequality sign _____ .
Question 25
Can a quadratic equation be solved by factoring?
Question 26
How do you determine the x-intercepts of a graph?
Question 27
Is the period of sine function 2π/b?
Question 28
What is the domain of a square root function?
Question 29
Is the difference quotient formula f(x+h)-f(x)/h?
Question 30
How do you find the domain of a rational function?

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