AP Precalculus Units 1 and 2A Review

Front

What is the transformation of the function f(x) = 2^x to g(x) = -2^(x+3) - 6?

Back

The function reflects over the x-axis, shifts left 3 units, and shifts down 6 units.

Front

What can be inferred if \( \lim_{x\rightarrow\infty}f(x)=-\infty \) and \( \lim_{x\rightarrow-\infty}f(x)=\infty \)?

Back

The degree of f is odd, and the leading coefficient is negative.

Front

Identify the function with zeros at x=0, x=5 (multiplicity of 3), and x=-6.

Back

f(x) = -7x(x-5)^3(x+6)

Front

What is the interval where f(x) < 0?

Back

(1, 3)

Front

Describe the function f(x) = ab^{-x} where a>0 and b>1.

Back

f is decreasing and concave up.

Front

What does it mean for a function to reflect over the x-axis?

Back

The output values of the function are negated, changing the sign of all y-values.

Front

Define the leading coefficient of a polynomial function.

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Front

What is the significance of the degree of a polynomial function?

Back

The degree determines the end behavior and the number of zeros of the polynomial.

Front

How do you determine the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What does it mean for a function to be concave up?

Back

The function's graph opens upwards, and its second derivative is positive.