HHS Alg 1 Study Guide units 7/8/9

Front

Given f(x) = 5 - x², find f(3).

Back

f(3) = -4

Front

How many solutions are there for the equation x² - 4 = 0?

Back

2

Front

Given f(x) = (2 + x)², what is the value of f(-3)?

Back

f(-3) = 1

Front

Given f(x) = x² - 1, what is the value of f(10)?

Back

f(10) = 99

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

D: {-4, 0, 1, 2}, R: {-4, -3, 1}

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

How do you find the vertex of a quadratic function in standard form?

Back

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