Precalc Midterm Review Day 1

Front

What is the solution to the inequality 6x² - 54 ≤ 0?

Back

-3 ≤ x ≤ 3

Front

What is the end behavior of a function f(x) as x approaches negative infinity if lim_{x→−∞}f(x) = ∞?

Back

The function approaches infinity as x approaches negative infinity.

Front

What is the simplified form of (–6i)(3i)?

Back

18

Front

What is the height equation of a ball thrown upward from a platform?

Back

h = 4 + 55t - 16t²

Front

At what time does the ball reach the ground if h = 0?

Back

t = 3.509 seconds

Front

What is the definition of end behavior in functions?

Back

End behavior describes the behavior of a function as the input values approach positive or negative infinity.

Front

How do you find the roots of a quadratic equation?

Back

Use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.