Exponential Functions (Grade 11 NSC Matric Mathematics): Quizzes

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Exponential Functions
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What is the general form of an exponential function?

y=ab(x+p)+qy = ab^{(x+p)} + q

For an exponential function to be properly defined, what must be true about base bb?

b>0b > 0 and b≠1b \neq 1

In y=ab(x+p)+qy = ab^{(x+p)} + q, what does parameter qq determine?

The horizontal asymptote at y=qy = q

When a>0a > 0 in y=abx+qy = ab^x + q, what is true about the function?

The function is increasing

When b>1b > 1 and a>0a > 0, what does the exponential function represent?

Exponential growth

In y=ab(x+p)+qy = ab^{(x+p)} + q, when p>0p > 0, how does the graph shift?

Left by pp units

What is the domain of exponential functions of the form y=ab(x+p)+qy = ab^{(x+p)} + q?

All real numbers

If a<0a < 0 in y=ab(x+p)+qy = ab^{(x+p)} + q, what is the range?

{y:y<q,y∈R}\{y : y < q, y \in \mathbb{R}\}

How do you find the y-intercept of an exponential function?

Substitute x=0x = 0 into the function

When q=−3q = -3 in y=abx+qy = ab^x + q, what happens to the graph?

Shifts down 3 units; asymptote at y=−3y = -3

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