Functions Involving Parameters, Vectors, and Matrices

Question 1

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 2

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 3

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 4

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 5

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 6

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 7

1 mark

college-boardPre-CalculusAP

1 mark

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

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Question 8

1 mark

college-boardPre-CalculusAP

1 mark

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

Question 9

1 mark

college-boardPre-CalculusAP

1 mark

If $\frac{d}{dx}(xy) = y + xy'$ , what does $xy'$ represent?

Question 10

1 mark

college-boardPre-CalculusAP

1 mark

What is the derivative of y with respect to x if $y^3 - x^3 = 6xy$ ?