Exponential Functions (Grade 10 NSC Matric Mathematics): Quizzes

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Exponential Functions
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What is the y-intercept of the basic exponential function y=bxy = b^x?

(0,1)(0, 1)

When does an exponential function show exponential growth?

When b>1b > 1

What is the domain of the function y=abx+qy = ab^x + q?

All real numbers

What is the horizontal asymptote of y=abx+qy = ab^x + q?

y=qy = q

For y=abx+qy = ab^x + q, what is the y-intercept?

(0,a+q)(0, a + q)

When does an x-intercept exist for y=abx+qy = ab^x + q?

When −qa>0-\frac{q}{a} > 0

What is the range of y=abx+qy = ab^x + q when a>0a > 0?

f(x)>qf(x) > q

For b>1b > 1, how does the curve behave when a<0a < 0?

Curves downwards

What does parameter qq do to the graph of y=abx+qy = ab^x + q?

Shifts it vertically

What is the range of y=abx+qy = ab^x + q when a<0a < 0?

f(x)<qf(x) < q

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