Functions (MCR3U) · Exponential Functions

Features of an exponential function

Find the y-intercept of y = a*b^x + k and connect it to the horizontal asymptote and range. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MCR3U-EF2.1

Try one

For the function below, find the y-intercept.

y = 2^x - 3

Answer: -2

See one solved, step by step

For the function below, find the y-intercept.

y = 3^x + 6

📘 Worked solution

1At x = 0: y = 1·3⁰ + 6Substitute x = 0 to find the y-intercept.

23⁰ = 1, so y = 1·1 + 6Any nonzero base raised to the exponent 0 equals 1.

3y = 7So the y-intercept is (0, 7). The graph's horizontal asymptote is y = 6, and the range is y > 6.

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