APPC 2-1 to 2-7 Test Correction

Front

What is the y-intercept of the function g(x) = -3(1/2)^-x?

Back

The y-intercept is -3.

Front

What is the horizontal asymptote of the function g(x) = -3(1/2)^-x?

Back

The horizontal asymptote is y = 0.

Front

As x approaches infinity, what does g(x) approach for g(x) = -3(1/2)^-x?

Back

As x approaches infinity, g(x) approaches -infinity.

Front

How do you determine the inverse of a function, f(x)?

Back

To find f^-1(3), look for the x-value that corresponds to y = 3 in the function's ordered pairs.

Front

What is the value of f^-1(3) if f(x) is defined by {(-1, 3), (0, 4), (3, 7), (4, 8), (10, -3)}?

Back

The value of f^-1(3) is -1.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = ab^x + c.

Front

What does it mean if a function is decreasing at an increasing rate?

Back

It means the function's slope is becoming less negative as x increases.

Front

What does it mean if a function is decreasing at a decreasing rate?

Back

It means the function's slope is becoming more negative as x increases.

Front

For the function f(x) = ab^x + c, what does it indicate if b > 1?

Back

If b > 1, the function is increasing.

Front

For the function f(x) = ab^x + c, what does it indicate if 0 < b < 1?

Back

If 0 < b < 1, the function is decreasing.