PreCal Review

Front

Describe the transformation: f(x) = (x + 4) - 2

Back

Horizontal shift to the left 4 and vertical shift down 2.

Front

Is the function f(x) = x^2 Even, Odd, or Neither?

Back

Even.

Front

Simplify the expression: r^6 ⋅ r^2 ⋅ r^3 = ?

Back

r^11.

Front

Select the graph that shows the corresponding vertical & horizontal asymptotes to the function f(x) = 1/(x-3)(x+2).

Back

Vertical asymptotes at x = 3 and x = -2.

Front

Given f(x) = 3x + 10 and g(x) = x - 2, find f(g(5)).

Back

19.

Front

What is the definition of a vertical asymptote?

Back

A vertical line x = a where a function approaches infinity or negative infinity.

Front

What does it mean for a function to be odd?

Back

f(-x) = -f(x) for all x in the domain.

Front

What is the formula for the sum of the roots of a quadratic equation ax^2 + bx + c = 0?

Back

The sum of the roots is -b/a.

Front

What is the definition of a horizontal shift in a function?

Back

A transformation that moves the graph left or right on the coordinate plane.

Front

What is the difference between a function being even and being odd?

Back

Even functions are symmetric about the y-axis; odd functions are symmetric about the origin.