Semester #1 Practice Final (Part 1)(IM2) 24-25

Front

Simplify: 5x√2

Back

10x√2

Front

What is the maximum value of this graph? (Click to enlarge)

Back

y = 6

Front

Use the Properties of Exponents to simplify 5k·6k^{1/2}

Back

30k^{3/2}

Front

Where is the function increasing?

Back

(4, ∞)

Front

Choose the correct equation for the graph: y=|x+2|, y=|x-2|, y=|x|+2, y=|x|-2

Back

y=|x|+2

Front

What is the definition of a maximum value in a graph?

Back

The highest point on the graph, where the function changes from increasing to decreasing.

Front

What is the property of exponents that states a^m * a^n = a^{m+n}?

Back

This is the Product of Powers Property.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first.

Front

What is the absolute value function?

Back

A function that returns the non-negative value of a number, defined as |x| = x if x ≥ 0 and |x| = -x if x < 0.

Front

How do you simplify the expression 6k^{1/2} * 5k?

Back

30k^{3/2} using the Product of Powers Property.