Midterm Review

Which is the correct mathematical definition of a function?

• It passes the vertical line test.

• It passes the horizontal line test.

• Each input is assigned to one unique output.

• Each input is assigned to multiple outputs.

The graph of a function and its inverse will be graphically symmetrical about

• x-axis

• y-axis

• y=x

• origin

For a function to have an inverse, it must be

• surjective (onto)

• injective (one-to-one)

• even

• odd

A set of points that are equidistant from a line and a fixed point.

• circle

• ellipse

• hyperbola

• parabola

A set of points, such that the difference of the distances to the two fixed points is a constant.

• circle

• ellipse

• hyperbola

• parabola

A set of points equidistant from a fixed point.

• circle

• ellipse

• hyperbola

• parabola

A set of points, such that the sum of the distances to the two fixed points is a constant.

• circle

• ellipse

• hyperbola

• parabola

Solve for x: log₃(x) + log₃(x-2) = log₃(x+10)

• 5

• -5

• 2

• -2

Conner buys a vintage comic book for $50 in 1995. Every 3 years, Conner gets the comic book appraised. Each appraisal the value increases by 25%. Which equation correctly determines the value of the comic book, where t is the years after the purchase?

• A(t) = 50(.25)^t

• A(t)=50(.75)^t

• A(t) = 50(.25)^t/3

• A(t)=50(1.25)^t/3

What is the y-intercept for the function f(x) = 3e^x - 4?

• y = -4

• y = -1

• y = 3

• y = 4