Pre-AP Precalculus Fall Final Review

Front

What is the range of the graph of the function f(x) = x^2 + 1?

Back

[1, ∞) - The range starts from 1 and goes to infinity.

Front

Rewrite the exponential equation 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

Front

Determine if the relation {(1,2), (2,3), (1,4)} is a function.

Back

No - A function cannot have two outputs for the same input.

Front

What is the center of the circle given by the equation (x + 4)^2 + (y + 3)^2 = 25?

Back

(h, k) = (-4, -3) - The center is at (-4, -3).

Front

Find all zeroes of the polynomial y = 2x^3 + 5x^2 - 6x - 9 given a factor of (x + 3).

Back

The zeroes are -1, -3, 3/2.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you find the vertex of a quadratic function in the form y = ax^2 + bx + c?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the domain of the function f(x) = 1/(x - 2)?

Back

The domain is all real numbers except x = 2.

Front

Convert the logarithmic equation log_5(25) = 2 to exponential form.

Back

5^2 = 25.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = (-b ± √(b^2 - 4ac)) / (2a).