Precalculus Test 4 Review

Front

What is the value of g(7) if g(x) is defined such that g(7) = 17?

Back

g(7) = 17.

Front

What is the Average Rate of Change also known as?

Back

Slope.

Front

Back

The average rate of change is 5.

Front

Find h(5) if h(5) = 7.

Back

h(5) = 7.

Front

What is the average rate of change of a function over the interval [1, 5] if the result is -0.75?

Back

The average rate of change is -0.75.

Front

Define the term 'slope' in the context of a linear function.

Back

The slope is the ratio of the vertical change to the horizontal change between two points on a line.

Front

What is the formula for calculating the average rate of change of a function f over the interval [a, b]?

Back

Front

If f(x) = 3x + 2, what is the slope of the line represented by this function?

Back

The slope is 3.

Front

What does it mean if the average rate of change of a function is negative?

Back

It indicates that the function is decreasing over the interval.

Front

How do you find the value of a function at a specific point, such as f(4) for f(x) = x^2?

Back

Substitute x = 4 into the function: f(4) = 4^2 = 16.