PSAT Advanced & Additional Math Practice (calculator)

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain (input values).

Front

Given f(x) = -x + 5, what is f(g(x)) when g(x) = x²?

Back

f(g(x)) = -g(x) + 5 = -x² + 5.

Front

What does it mean for a value to be 'not in the range' of a function?

Back

A value is 'not in the range' if there is no input in the domain that produces that output when the function is applied.

Front

What is a transformation in the context of functions?

Back

A transformation refers to changes made to the graph of a function, such as shifts, reflections, stretches, or compressions.

Front

How do you find the mass of an object using density and volume?

Back

Mass = Density × Volume.

Front

What is the formula for the volume of a hexagonal prism?

Back

Volume = (3√3/2) × side² × height.

Front

If a function f(h) represents the number of shingles on a house, what does f(7) = 60 imply?

Back

It implies that the seventh house has 60 brown shingles on its roof.

Front

What is the significance of r(x) = 0 in a function?

Back

r(x) = 0 indicates the x-values where the graph of the function intersects the x-axis (roots or zeros of the function).

Front

What is the process to determine if a value can be a root of a function?

Back

To determine if a value can be a root, substitute it into the function and check if the output equals zero.

Front

What is the effect of a negative sign in front of a function, such as -x?

Back

A negative sign reflects the graph of the function across the x-axis.