Math 3 Unit 1 Lessons 1 - 2 Review

Front

Is this a function? (1,5), (2,6), (3,7), (4,8)

Back

Yes, this is a function because each input (x-value) has a unique output (y-value).

Front

Which list orders the quadratic functions from narrowest to widest? y = x², y = 4x², y = 2x² - 2, y = 0.5 x²

Back

y = 4x², y = 2x² - 2, y = x², y = 0.5 x². The coefficient of x² determines the width; larger coefficients result in narrower parabolas.

Front

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which function represents the total charges for x hours?

Back

f(x) = 25.5 + 8.5x. This function accounts for the fixed rental fee and the variable hourly charge.

Front

Is this a function? (1,5), (1,6)

Back

No, this is not a function because the input (1) has two different outputs (5 and 6).

Front

What is f(1) if f(x) = 2x + 3?

Back

f(1) = 5. Substitute 1 into the function: 2(1) + 3 = 5.

Front

What is the definition of a function?

Back

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

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the effect of changing the coefficient 'a' in a quadratic function?

Back

Changing 'a' affects the width and direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.