Unit 4 Mid Unit Assessment - original

What is the significance of the notation h(t)?

• h(t) represents the height of a plant at time t.

• h(t) represents the temperature of a plant at time t.

• h(t) represents the weight of a plant at time t.

• h(t) represents the age of a plant at time t.

What does h(4)=5 represent in the context of a function h(t) for plant height?

• After 4 weeks, the plant is 5 inches tall.

• After 4 weeks, the plant is 4 inches tall.

• After 5 weeks, the plant is 5 inches tall.

• After 4 weeks, the plant is 6 inches tall.

What is a linear function?

• A function that graphs to a straight line, represented by the equation y = mx + b.

• A function that has a constant rate of change and forms a curve on a graph.

• A function that can be represented by a quadratic equation.

• A function that does not have a defined slope.

What does it mean if a function is increasing?

• A function is increasing if the output values rise as the input values increase.

• A function is increasing if the output values decrease as the input values increase.

• A function is increasing if the output values remain constant as the input values increase.

• A function is increasing if the output values fluctuate as the input values increase.

Calculate the average rate of change from 20 to 40 minutes if the output changes by -40 gallons.

• -1 gallon per minute

• -2 gallons per minute

• -3 gallons per minute

• -4 gallons per minute

What is the average rate of change?

• The average rate of change is the change in the value of a function divided by the change in the input value over a specific interval.

• The average rate of change is the total change in a function's value over its entire domain.

• The average rate of change is the instantaneous rate of change at a specific point.

• The average rate of change is the difference between the maximum and minimum values of a function.

What is the slope of a line?

• The slope of a line is the ratio of the rise (change in y) to the run (change in x).

• The slope of a line is the distance between two points on the line.

• The slope of a line is the angle it makes with the x-axis.

• The slope of a line is the average of the y-coordinates of the points on the line.

What is function notation?

• Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the function and x is the input.

• Function notation is a method to calculate the derivative of a function.

• Function notation is used to describe the graphical representation of a function.

• Function notation is a technique for solving algebraic equations.

What does d(8)=300 mean in the context of a function d(x) where x is gallons of gas?

• A car with 8 gallons of gas can travel 300 miles.

• A car can travel 8 miles with 300 gallons of gas.

• A car with 300 gallons of gas can travel 8 miles.

• A car can travel 300 miles with 8 liters of gas.

If f(1990) = 214, what does this indicate?

• The function f outputs 214 when the input is 1990.

• The function f outputs 1990 when the input is 214.

• The function f is undefined at the input 1990.

• The function f outputs 0 when the input is 1990.