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  2. AP Pre Calculus
FlashcardFlashcardStudy GuideStudy GuideQuestion BankQuestion Bank

Functions Involving Parameters, Vectors, and Matrices

Question 1
college-boardPre-CalculusAPExam Style
1 mark

If (x, y) satisfies an implicitly defined function, how many values can y take for each x?

Question 2
college-boardPre-CalculusAPExam Style
1 mark

Which property states that for any real number aaa, the equation a+0=aa + 0 = aa+0=a holds true?

Question 3
college-boardPre-CalculusAPExam Style
1 mark

Which term describes a situation where f(x)f(x)f(x) becomes infinitely large as xxx approaches 'a' from either side?

Question 4
college-boardPre-CalculusAPExam Style
1 mark

What is it called when you add a number and its opposite yielding zero (a+(−a)=0a + (-a) = 0a+(−a)=0)?

Question 5
college-boardPre-CalculusAPExam Style
1 mark

When you differentiate both sides of an equation like sin⁡(y)=x2+1\sin(y) = x^2 + 1sin(y)=x2+1 with respect to xxx, what rule do you need to apply on the left-hand side?

Question 6
college-boardPre-CalculusAPExam Style
1 mark

What type of discontinuity is present if a function has a hole at the point (a, b)?

Question 7
college-boardPre-CalculusAPExam Style
1 mark

What is the measure of an angle that is supplementary to a 65-degree angle?

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Question 8
college-boardPre-CalculusAPExam Style
1 mark

Given quadratic function q(x)=ax2+bx+cq(x)=ax^2+bx+cq(x)=ax2+bx+c, how could it be transformed to reflect over the x-axis followed by a shift of units to the right?

Question 9
college-boardPre-CalculusAPExam Style
1 mark

If ddx(xy)=y+xy′\frac{d}{dx}(xy) = y + xy'dxd​(xy)=y+xy′, what does xy′xy'xy′ represent?

Question 10
college-boardPre-CalculusAPExam Style
1 mark

What is the derivative of y with respect to x if y3−x3=6xyy^3 - x^3 = 6xyy3−x3=6xy?